المؤلفون: Cheng, Ye, Shi, Bao, Ding, Liangliang

مصطلحات موضوعية: keyword:consensus, keyword:multi-agent system, keyword:nonlinear dynamics, keyword:time-varying delay, keyword:Hopf bifurcation, msc:34A34, msc:34D05, msc:34K25

وصف الملف: application/pdf

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الاتاحة: http://hdl.handle.net/10338.dmlcz/148901

المؤلفون: Hai, Pham Viet

مصطلحات موضوعية: keyword:polynomial expansiveness, keyword:evolution family, msc:34D05, msc:34E05

وصف الملف: application/pdf

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الاتاحة: http://hdl.handle.net/10338.dmlcz/148731

المؤلفون: Luey, Sokea, Usami, Hiroyuki

مصطلحات موضوعية: keyword:half-linear ordinary differential equation, keyword:asymptotic form, msc:34A34, msc:34D05, msc:34E10

وصف الملف: application/pdf

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الاتاحة: http://hdl.handle.net/10338.dmlcz/148716

المؤلفون: Du, Bo

مصطلحات موضوعية: keyword:periodic solution, keyword:$D$ operator, keyword:existence, keyword:stability, msc:34D05, msc:34D20

وصف الملف: application/pdf

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الاتاحة: http://hdl.handle.net/10338.dmlcz/147955

المؤلفون: Beldjerd, Djamila, Remili, Moussadek

مصطلحات موضوعية: keyword:third-order differential equation, keyword:boundedness, keyword:square integrability, msc:34C11, msc:34D05

وصف الملف: application/pdf

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الاتاحة: http://hdl.handle.net/10338.dmlcz/147475

المؤلفون: Medveď, Milan, Pekárková, Eva

مصطلحات موضوعية: keyword:$p$-Laplacian, keyword:differential equation, keyword:asymptotic integration, msc:34D05, msc:35B40

وصف الملف: application/pdf

Relation: mr:MR3475109; zbl:Zbl 06562205; reference:[1] Agarwal, R.P., Djebali, S., Moussaoui, T., Mustafa, O.G.: On the asymptotic integration of nonlinear differential equations.J. Comput. Appl. Math 202 (2007), 352–376. Zbl 1123.34038, MR 2319962, 10.1016/j.cam.2005.11.038; reference:[2] Bartušek, M., Medveď, M.: Existence of global solutions for systems of second-order functional-differential equations with $p$-Laplacian.EJDE 40 (2008), 1–8. Zbl 1171.34335, MR 2392944; reference:[3] Bartušek, M., Pekárková, E.: On the existence of proper solutions of quasilinear second order differential equations.EJQTDE 1 (2007), 1–14. MR 2295683; reference:[4] Bihari, I.: A generalization of a lemma of Bellman and its applications to uniqueness problems of differential equations.Acta Math. Hungar. 7 (1956), 81–94. MR 0079154, 10.1007/BF02022967; reference:[5] Caligo, D.: Comportamento asintotico degli integrali dell’equazione $y^{\prime \prime }(x)+A(x)y(x)=0,$ nell’ipotesi $\lim _{x\rightarrow +\infty }A(x)=0$.Boll. Un. Mat. Ital. (2) 3 (1941), 286–295. MR 0005219; reference:[6] Cohen, D.S.: The asymptotic behavior of a class of nonlinear differntial equations.Proc. Amer. Math. Soc. 18 (1967), 607–609. MR 0212289, 10.1090/S0002-9939-1967-0212289-3; reference:[7] Constantin, A.: On the asymptotic behavior of second order nonlinear differential equations.Rend. Mat. Appl. (7) 13 (4) (1993), 627–634. MR 1283990; reference:[8] Constantin, A.: Solutions globales d’équations différentielles perturbées.C. R. Acad. Sci. Paris Sér. I Math. 320 (11) (1995), 1319–1322. MR 1338279; reference:[9] Constantin, A.: On the existence of positive solutions of second order differential equations.Ann. Mat. Pura Appl. (4) 184 (2) (2005), 131–138. Zbl 1223.34041, MR 2149089, 10.1007/s10231-004-0100-1; reference:[10] Dannan, F.M.: Integral inequalities of Gronwall-Bellman-Bihari type and asymptotic behavior of certain second order nonlinear differential equations.J. Math. anal. Appl. 108 (1) (1985), 151–164. MR 0791139, 10.1016/0022-247X(85)90014-9; reference:[11] Kusano, T., Trench, W.F.: Existence of global solutions with prescribed asymptotic behavior for nonlinear ordinary differential equations.J. London Math. Soc.(2) 31 (3) (1985), 478–486. MR 0812777, 10.1112/jlms/s2-31.3.478; reference:[12] Kusano, T., Trench, W.F.: Existence of global solutions with prescribed asymptotic behavior for nonlinear ordinary differential equations.Ann. Mat. Pura Appl. (4) 142 (1985), 381–392. MR 0839046; reference:[13] Lipovan, O.: On the asymptotic behaviour of the solutions to a class of second order nonlinear differential equations.Glasgow Math. J. 45 (1) (2003), 179–187. Zbl 1037.34041, MR 1973349, 10.1017/S0017089502001143; reference:[14] Medveď, M., Moussaoui, T.: Asymptotic integration of nonlinear $\Phi -$Laplacian differential equations.Nonlinear Anal. 72 (2010), 1–8. Zbl 1192.34059, MR 2577598, 10.1016/j.na.2009.09.042; reference:[15] Medveď, M., Pekárková, E.: Existence of global solutions for systems of second-order differential equations with $p$-Laplacian.EJDE 2007 (136) (2007), 1–9. Zbl 1138.34316, MR 2349964; reference:[16] Medveď, M., Pekárková, E.: Long time behavior of second order differential equations with $p$-Laplacian.EJDE 2008 (108) (2008), 1–12. MR 2430905; reference:[17] Mustafa, O.G., Rogovchenko, Y.V.: Global existence of solutions with prescribed asymptotic behavior for second-order nonlinear differential equations.Nonlinear Anal. 51 (2002), 339–368. Zbl 1017.34005, MR 1918348, 10.1016/S0362-546X(01)00834-3; reference:[18] Mustafa, O.G., Rogovchenko, Y.V.: Asymptotic behavior of nonoscillatory solutions of second-order nonlinear differential equations.Dynamic Systems and Applications 4 (2004), 312–319. Zbl 1082.34042, MR 2117799; reference:[19] Pekárková, E.: Estimations of noncontinuable solutions of second order differential equations with $p$-Laplacian.Arch. Math.( Brno) 46 (2010), 135–144. Zbl 1240.34187, MR 2684255; reference:[20] Philos, Ch.G., Purnaras, I.K., Tsamatos, P.Ch.: Large time asymptotic to polynomials solutions for nonlinear differential equations.Nonlinear Anal. 59 (2004), 1157–1179. MR 2098511, 10.1016/S0362-546X(04)00323-2; reference:[21] Rogovchenko, S.P., Rogovchenko, Y.V.: Asymptotics of solutions for a class of second order nonlinear differential equations.Portugal. Math. 57 (1) (2000), 17–32.; reference:[22] Rogovchenko, Y.V.: On asymptotic behavior of solutions for a class of second order nonlinear differential equations.Collect. Math. 49 (1) (1998), 113–120. MR 1629766; reference:[23] Tong, J.: The asymptotic behavior of a class of nonlinear differential equations of second order.Proc. Amer. Math. Soc. 54 (1982), 235–236. Zbl 0491.34036, MR 0637175, 10.1090/S0002-9939-1982-0637175-4; reference:[24] Trench, W.F.: On the asymptotic behavior of solutions of second order linear differential equations.Proc. Amer. Math. Soc. 54 (1963), 12–14. MR 0142844, 10.1090/S0002-9939-1963-0142844-7

الاتاحة: http://hdl.handle.net/10338.dmlcz/144836

المؤلفون: Kadeřábek, Zdeněk

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وصف الملف: application/pdf

Relation: mr:MR3475112; zbl:Zbl 06562208; reference:[1] Kadeřábek, Z.: The autonomous system derived from Van der Pol-Mathieu equation.Aplimat - J. Appl. Math., Slovak Univ. Tech., Vol. 5 (2), vol. 5, 2012, pp. 85–96.; reference:[2] Kalas, J., Kadeřábek, Z.: Periodic solutions of a generalized Van der Pol-Mathieu differential equation.Appl. Math. Comput. 234 (2014), 192–202. Zbl 1309.34068, MR 3190531, 10.1016/j.amc.2014.01.161; reference:[3] Kuznetsov, N.V., Leonov, G.A.: Computation of Lyapunov quantities.Proceedings of the 6th EUROMECH Nonlinear Dynamics Conference, 2008, IPACS Electronic Library, pp. 1–10.; reference:[4] Kuznetsov, Y.A.: Elements of Applied Bifurcation Theory.2nd ed., Springer-Verlag New York, 1998. Zbl 0914.58025, MR 1711790; reference:[5] Momeni, I., Moslehi-Frad, M., Shukla, P.K.: A Van der Pol-Mathieu equation for the dynamics of dust grain charge in dusty plasmas.J. Phys. A: Math. Theor. 40 (2007), F473–F481. MR 2345462, 10.1088/1751-8113/40/24/F06; reference:[6] Perko, L.: Differential Equations and Dynamical Systems.2nd ed., Springer, 1996. Zbl 0854.34001, MR 1418638, 10.1007/978-1-4684-0249-0; reference:[7] Veerman, F., Verhulst, F.: Quasiperiodic phenomena in the Van der Pol-Mathieu equation.J. Sound Vibration 326 (1–2) (2009), 314–320. 10.1016/j.jsv.2009.04.040; reference:[8] Verhulst, F.: Nonlinear Differential Equations and Dynamical Systems.2nd ed., Springer, 2006. MR 1036522

الاتاحة: http://hdl.handle.net/10338.dmlcz/144839

المؤلفون: Raffoul, Youssef N.

مصطلحات موضوعية: keyword:necessary, keyword:sufficient, keyword:time scales, keyword:Lyapunov functionals, keyword:stability, keyword:zero solution, msc:34D05, msc:34N05, msc:39A12, msc:45D05

وصف الملف: application/pdf

Relation: mr:MR3475110; zbl:Zbl 06562206; reference:[1] Adivar, M.: Function bounds for solutions of Volterra integrodynamic equations on time scales.EJQTDE (7) (2010), 1–22. MR 2577160; reference:[2] Adivar, M., Raffoul, Y.: Existence results for periodic solutions of integro-dynamic equations on time scales.Ann. Mat. Pura Appl. (4) 188 (4) (2009), 543–559. DOI: http://dx.doi.org/10.1007/s1023-008-0088-z Zbl 1176.45008, MR 2533954, 10.1007/s10231-008-0088-z; reference:[3] Adivar, M., Raffoul, Y.: Stability and periodicity in dynamic delay equations.Comput. Math. Appl. 58 (2009), 264–272. Zbl 1189.34143, MR 2535793, 10.1016/j.camwa.2009.03.065; reference:[4] Adivar, M., Raffoul, Y.: A note on “Stability and periodicity in dynamic delay equations”.Comput. Math. Appl. 59 (2010), 3351–3354. Zbl 1198.34150, MR 2651874, 10.1016/j.camwa.2010.03.025; reference:[5] Adivar, M., Raffoul, Y.: Necessary and sufficient conditions for uniform stability of Volterra integro-dynamic equations using new resolvent equation.An. Ştiinţ. Univ. Ovidius Constanţa Ser. Mat 21 (3) (2013), 17–32. Zbl 1313.45008, MR 3145088; reference:[6] Akın–Bohner, E., Raffoul, Y.: Boundeness in functional dynamic equations on time scales.Adv. Difference Equ. (2006), 1–18. MR 2255160; reference:[7] Bohner, M., Peterson, A.: Dynamic Equations on Time Scales: An Introduction with Applications.Birkhäuser, Boston, 2001. Zbl 0978.39001, MR 1843232; reference:[8] Bohner, M., Peterson, A.: Advances in Dynamic Equations on Time Scales.Birkhäuser, Boston, 2003. Zbl 1025.34001, MR 1962542; reference:[9] Bohner, M., Raffoul, Y.: Volterra Dynamic Equations on Time Scales.preprint.; reference:[10] Burton, T.A.: Stability and Periodic Solutions of Ordinary and Functional Differential Equations.Dover, New York, 2005. Zbl 1209.34001, MR 2761514; reference:[11] Burton, T.A.: Stability by Fixed Point Theory for Functional Differential Equations.Dover, New York, 2006. Zbl 1160.34001, MR 2281958; reference:[12] Eloe, P., Islam, M., Zhang, B.: Uniform asymptotic stability in linear Volterra integrodifferential equations with applications to delay systems.Dynam. Systems Appl. 9 (2000), 331–344. MR 1844634; reference:[13] Grace, S., Graef, J., Zafer, A.: Oscillation of integro-dynamic equations on time scales.Appl. Math. Lett. 26 (4) (2013), 383–386. Zbl 1261.45005, MR 3019962, 10.1016/j.aml.2012.10.001; reference:[14] Kulik, T., Tisdell, C.: Volterra integral equations on time scales: basic qualitative and quantitative results with applications to initial value problems on unbounded domains.Int. J. Difference Equ. 3 (1) (2008), 103–133. MR 2548121; reference:[15] Lupulescu, V., Ntouyas, S., Younus, A.: Qualitative aspects of a Volterra integro-dynamic system on time scales.EJQTDE (5) (2013), 1–35. MR 3011509; reference:[16] Peterson, A., Raffoul, Y.: Exponential stability of dynamic equations on time scales.Adv. Difference Equ. 2 (2005), 133–144. Zbl 1100.39013, MR 2197128; reference:[17] Peterson, A., Tisdell, C.C.: Boundedness and uniqueness of solutions to dynamic equations on time scales.J. Differ. Equations Appl. 10 (13–15) (2004), 1295–1306. Zbl 1072.39017, MR 2100729, 10.1080/10236190410001652793; reference:[18] Raffoul, Y.: Boundedness in nonlinear differential equations.Nonlinear Studies 10 (2003), 343–350. Zbl 1050.34046, MR 2021322; reference:[19] Raffoul, Y.: Boundedness in nonlinear functional differential equations with applications to Volterra integrodifferential.J. Integral Equations Appl. 16 (4) (2004). Zbl 1090.34056, MR 2133906, 10.1216/jiea/1181075297

الاتاحة: http://hdl.handle.net/10338.dmlcz/144837

المؤلفون: Marek, Ivo

مصطلحات موضوعية: keyword:input/output system, keyword:non-oscillatory behavior, keyword:stochastic model, keyword:chemical system, msc:34A34, msc:34D05, msc:37E10, msc:93A30, msc:93D25, msc:93E15

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Relation: mr:MR3204412; zbl:Zbl 1313.93020

الاتاحة: http://hdl.handle.net/10338.dmlcz/702905

المؤلفون: Girbig, Dorothee

مصطلحات موضوعية: msc:34D05, ddc:570, msc:62C99, Institut für Biochemie und Biologie

وصف الملف: application/pdf

URL الوصول: https://explore.openaire.eu/search/publication?articleId=od_______266::c65b6ebbbfba1fb8799fe632ad8fa318
https://publishup.uni-potsdam.de/frontdoor/index/index/docId/6966

المؤلفون: Omeike, M. O.

مصطلحات موضوعية: keyword:boundedness, keyword:stability, keyword:Liapunov function, keyword:differential equations of third order, msc:34C11, msc:34D05, msc:34D20, msc:34D40

وصف الملف: application/pdf

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الاتاحة: http://hdl.handle.net/10338.dmlcz/143783

المؤلفون: Došlý, Ondřej, Jansová, Eva, Kalas, Josef

مصطلحات موضوعية: keyword:ordinary linear differential equations, keyword:differential equations with complex coefficients, keyword:dynamic systems, keyword:nonlinear second order differential equations, msc:01A70, msc:34-03, msc:34C10, msc:34D05

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Relation: mr:MR3194764; zbl:Zbl 06424472

الاتاحة: http://hdl.handle.net/10338.dmlcz/143713

المؤلفون: Bartušek, Miroslav, Kokologiannaki, Chrysi G.

مصطلحات موضوعية: keyword:monotonicity, keyword:oscillatory solutions, msc:34C10, msc:34C15, msc:34D05

وصف الملف: application/pdf

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الاتاحة: http://hdl.handle.net/10338.dmlcz/143532

المؤلفون: Vampolová, Jana

مصطلحات موضوعية: keyword:singular ordinary differential equation of the second order, keyword:time singularities, keyword:unbounded domain, keyword:asymptotic properties, keyword:Kneser solutions, keyword:damped solutions, keyword:non-oscillatory solutions, msc:34A12, msc:34D05

وصف الملف: application/pdf

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Zbl 1147.34024, MR 2309447; reference:[30] Wong, P. J. Y., Agarwal, R. P.: Oscillatory behavior of solutions of certain second order nonlinear differential equations. J. Math. Anal. Appl. 198 (1996), 337–354. Zbl 0855.34039, MR 1376268, 10.1006/jmaa.1996.0086; reference:[31] Wong, P. J. Y., Agarwal, R. P.: The oscillation and asymptotically monotone solutions of second order quasilinear differential equations. Appl. Math. Comput. 79 (1996),207–237. MR 1407599

الاتاحة: http://hdl.handle.net/10338.dmlcz/143397

المؤلفون: Došlý, Ondřej

مصطلحات موضوعية: msc:34C10, msc:34C11, msc:34D05

وصف الملف: application/pdf

Relation: mr:MR1981523; zbl:Zbl 1016.34030

الاتاحة: http://hdl.handle.net/10338.dmlcz/700330

المؤلفون: Rohleder, Martin

مصطلحات موضوعية: keyword:singular ordinary differential equation of the second order, keyword:time singularities, keyword:unbounded domain, keyword:asymptotic properties, keyword:damped solutions, keyword:oscillatory solutions, msc:34A12, msc:34C11, msc:34C15, msc:34D05

وصف الملف: application/pdf

Relation: mr:MR3058877; zbl:Zbl 06204934; reference:[1] Bartušek, M., Cecchi, M, Došlá, Z., Marini, M.: On oscillatory solutions of quasilinear differential equations. J. Math. Anal. Appl. 320 (2006), 108–120. Zbl 1103.34016, MR 2230460, 10.1016/j.jmaa.2005.06.057; reference:[2] Cecchi, M, Marini, M., Villari, G.: On some classes of continuable solutions of a nonlinear differential equation., J. Differ. Equations 118, 2 (1995), 403–419. Zbl 0827.34020, MR 1330834, 10.1006/jdeq.1995.1079; reference:[3] Gouin, H., Rotoli, G.: An analytical approximation of density profile and surface tension of microscopic bubbles for Van der Waals fluids. Mech. Res. Commun. 24 (1997), 255–260. Zbl 0899.76064, 10.1016/S0093-6413(97)00022-0; reference:[4] Ho, L. F.: Asymptotic behavior of radial oscillatory solutions of a quasilinear elliptic equation. Nonlinear Anal. 41 (2000), 573–589. Zbl 0962.34019, MR 1780633, 10.1016/S0362-546X(98)00298-3; reference:[5] Kiguradze, I. T., Chanturia, T.: Asymptotic Properties of Solutions of Nonautonomous Ordinary Differential Equations. Kluver Academic, Dordrecht, 1993. Zbl 0782.34002; reference:[6] Kitzhofer, G., Koch, O., Lima, P., Weinmüller, E.: Efficient Numerical Solution of the Density Profile Equation in Hydrodynamics. J. Sci. Comput. 32 (2007), 411–424. Zbl 1179.76062, MR 2335787, 10.1007/s10915-007-9141-0; reference:[7] Kulenović, M. R. S., Ljubović, Ć.: All solutions of the equilibrium capillary surface equation are oscillatory. Appl. Math. Lett. 13 (2000), 107–110. MR 1760271, 10.1016/S0893-9659(00)00041-0; reference:[8] Li, W. T.: Oscillation of certain second-order nonlinear differential equations. J. Math. Anal. Appl. 217 (1998), 1–14. Zbl 0893.34023, MR 1492076, 10.1006/jmaa.1997.5680; reference:[9] Lima, P. M., Chemetov, N. V., Konyukhova, N. B., Sukov, A. I.: Analytical-numerical investigation of bubble-type solutions of nonlinear singular problems. J. Comp. Appl. Math. 189 (2006), 260–273. Zbl 1100.65066, MR 2202978, 10.1016/j.cam.2005.05.004; reference:[10] Linde, A. P.: Particle Physics and Inflationary Cosmology. Harwood Academic, Chur, Switzerland, 1990.; reference:[11] O’Regan, D.: Existence Theory for Nonlinear Ordinary Differential Equations. Kluver Academic, Dordrecht, 1997. Zbl 1077.34505; reference:[12] O’Regan, D.: Theory of Singular Boundary Value Problems. World Scientific, Singapore, 1994. Zbl 0807.34028, MR 1286741; reference:[13] Ou, C. H., Wong, J. S. W.: On existence of oscillatory solutions of second order Emden–Fowler equations. J. Math. Anal. Appl. 277 (2003), 670–680. Zbl 1027.34039, MR 1961253, 10.1016/S0022-247X(02)00617-0; reference:[14] Rachůnková, I., Rachůnek, L., Tomeček, J.: Existence of oscillatory solutions of singular nonlinear differential equations. Abstr. Appl. Anal. 2011, Article ID 408525, 1–20. Zbl 1222.34035; reference:[15] Rachůnková, I., Tomeček, J.: Bubble-type solutions of nonlinear singular problems. Math. Comput. Modelling 51 (2010), 658–669. Zbl 1190.34029, 10.1016/j.mcm.2009.10.042; reference:[16] Rachůnková, I., Tomeček, J.: Homoclinic solutions of singular nonautonomous second order differential equations. Bound. Value Probl. 2009, Article ID 959636, 1–21. Zbl 1190.34028, MR 2552066; reference:[17] Rachůnková, I., Tomeček, J.: Strictly increasing solutions of a nonlinear singular differential equation arising in hydrodynamics. Nonlinear Anal. 72 (2010), 2114–2118. Zbl 1186.34014, MR 2577608, 10.1016/j.na.2009.10.011; reference:[18] Rachůnková, I., Tomeček, J., Stryja, J.:: Oscillatory solutions of singular equations arising in hydrodynamics. Adv. Difference Equ. Recent Trends in Differential and Difference Equations 2010, Article ID 872160, 1–13. Zbl 1203.34058, MR 2652448; reference:[19] Wong, J. S. W.: Second-order nonlinear oscillations: a case history. In: Differential & Difference Equations and Applications, Hindawi Publishing Corporation, New York, 2006, 1131–1138. Zbl 1147.34024, MR 2309447; reference:[20] Wong, J. S. W., Agarwal, R. P.: Oscillatory behavior of solutions of certain second order nonlinear differential equations. J. Math. Anal. Appl. 198 (1996), 337–354. Zbl 0855.34039, MR 1376268, 10.1006/jmaa.1996.0086

الاتاحة: http://hdl.handle.net/10338.dmlcz/143071

المؤلفون: Došlá, Zuzana, Marini, Mauro, Matucci, Serena

مصطلحات موضوعية: keyword:boundary value problem, keyword:$p$-Laplacian, keyword:half-linear equation, keyword:positive solution, keyword:uniqueness, keyword:decaying solution, keyword:principal solution, msc:34B18, msc:34B40, msc:34C10, msc:34D05

وصف الملف: application/pdf

Relation: mr:MR2978257; zbl:Zbl 1265.34113; reference:[1] Agarwal, R. P, Grace, S. R., O'Regan, D.: Oscillation Theory for Second Order Linear, Half-Linear, Superlinear and Sublinear Dynamic Equations.Kluwer Acad., Dordrecht (2003). MR 2091751; reference:[2] Cecchi, M., Došlá, Z., Kiguradze, I., Marini, M.: On nonnegative solutions of singular boundary value problems for Emden-Fowler type differential systems.Differ. Integral Equ. 20 (2007), 1081-1106. Zbl 1212.34044, MR 2365203; reference:[3] Cecchi, M., Došlá, Z., Marini, M.: On the dynamics of the generalized Emden-Fowler equations.Georgian Math. J. 7 (2000), 269-282. MR 1779551, 10.1515/GMJ.2000.269; reference:[4] Cecchi, M., Došlá, Z., Marini, M.: On nonoscillatory solutions of differential equations with $p$-Laplacian.Adv. Math. Sci. Appl. 11 (2001), 419-436. Zbl 0996.34039, MR 1842385; reference:[5] Cecchi, M., Došlá, Z., Marini, M.: Principal solutions and minimal sets of quasilinear differential equations.Dynam. Systems Appl. 13 (2004), 221-232. Zbl 1123.34026, MR 2140874; reference:[6] Cecchi, M., Došlá, Z., Marini, M., Vrkoč, I.: Integral conditions for nonoscillation of second order nonlinear differential equations.Nonlinear Anal., Theory Methods Appl. 64 (2006), 1278-1289. Zbl 1114.34031, MR 2200492, 10.1016/j.na.2005.06.035; reference:[7] Cecchi, M., Furi, M., Marini, M.: On continuity and compactness of some nonlinear operators associated with differential equations in noncompact intervals.Nonlinear Anal., Theory Methods Appl. 9 (1985), 171-180. Zbl 0563.34018, MR 0777986, 10.1016/0362-546X(85)90070-7; reference:[8] Chanturia, T. A.: On singular solutions of nonlinear systems of ordinary differential equations.Colloq. Math. Soc. Janos Bolyai 15 (1975), 107-119. MR 0591720; reference:[9] Chanturia, T. A.: On monotonic solutions of systems of nonlinear differential equations.Russian Ann. Polon. Math. 37 (1980), 59-70.; reference:[10] Došlá, Z., Marini, M., Matucci, S.: A boundary value problem on a half-line for differential equations with indefinite weight.(to appear) in Commun. Appl. Anal. MR 2867356; reference:[11] Došlý, O., Řehák, P.: Half-Linear Differential Equations.North-Holland Mathematics Studies 202, Elsevier, Amsterdam (2005). Zbl 1090.34001, MR 2158903; reference:[12] Garcia, H. M., Manasevich, R., Yarur, C.: On the structure of positive radial solutions to an equation containing a $p$-Laplacian with weight.J. Differ. Equations 223 (2006), 51-95. Zbl 1170.35404, MR 2210139, 10.1016/j.jde.2005.04.012; reference:[13] Lian, H., Pang, H., Ge, W.: Triple positive solutions for boundary value problems on infinite intervals.Nonlinear Anal., Theory Methods Appl. 67 (2007), 2199-2207. Zbl 1128.34011, MR 2331870, 10.1016/j.na.2006.09.016; reference:[14] Mirzov, J. D.: Asymptotic properties of solutions of systems of nonlinear nonautonomous ordinary differential equations.Folia Fac. Sci. Nat. Univ. Masaryk. Brun. Math. 14 (2004). Zbl 1154.34300, MR 2144761

الاتاحة: http://hdl.handle.net/10338.dmlcz/142856

المؤلفون: Bartušek, Miroslav, Cecchi, Mariella, Došlá, Zuzana, Marini, Mauro

مصطلحات موضوعية: keyword:third order differential equation, keyword:damping term, keyword:second order oscillatory equation, keyword:positive solution, keyword:asymptotic properties, msc:34C10, msc:34D05, msc:34K11, msc:34K25

وصف الملف: application/pdf

Relation: mr:MR2856137; zbl:Zbl 1224.34152; reference:[1] Agarwal, R., Aktas, M. F., Tiryaki, A.: On oscillation criteria for third order nonlinear delay differential equations.Arch. Math. (Brno) 45 (2009), 1-18. Zbl 1212.34189, MR 2591657; reference:[2] Baculikova, B., Elabbasy, E. M., Saker, S. H., Dzurina, J.: Oscillation criteria for third-order nonlinear differential equations.Math. Slovaca 58 (2008), 201-202. Zbl 1174.34052, MR 2391214, 10.2478/s12175-008-0068-1; reference:[3] Bartušek, M., Cecchi, M., Došlá, Z., Marini, M.: On nonoscillatory solutions of third order nonlinear differential equations.Dynam. Systems Appl. 9 (2000), 483-500. MR 1843694; reference:[4] Bartušek, M., Cecchi, M., Došlá, Z., Marini, M.: Oscillation for third order nonlinear differential equations with deviating argument.Abstr. Appl. Anal. 2010, Article ID 278962, 19 p. (2010). Zbl 1192.34073, MR 2587610; reference:[5] Bartušek, M., Cecchi, M., Marini, M.: On Kneser solutions of nonlinear third order differential equations.J. Math. Anal. Appl. 261 (2001), 72-84. Zbl 0995.34025, MR 1850957, 10.1006/jmaa.2000.7473; reference:[6] Cecchi, M., Došlá, Z., Marini, M.: On third order differential equations with property A and B.J. Math. Anal. Appl. 231 (1999), 509-525. MR 1669163, 10.1006/jmaa.1998.6247; reference:[7] Cecchi, M., Došlá, Z., Marini, M.: On nonlinear oscillations for equations associated to disconjugate operators.Nonlinear Anal., Theory Methods Appl. 30 (1997), 1583-1594. MR 1490081, 10.1016/S0362-546X(97)00028-X; reference:[8] Coles, W. J.: Boundedness of solutions of two-dimensional first order differential systems.Boll. Un. Mat. Ital. 4 (1971), 225-231. Zbl 0229.34027, MR 0293162; reference:[9] Jaroš, J., Kusano, T., Marić, V.: Existence of regularly and rapidly varying solutions for a class of third order nonlinear ordinary differential equations.Publ. Inst. Math. Beograd 79 (2006), 51-64. MR 2275338, 10.2298/PIM0693051J; reference:[10] Kiguradze, I.: An oscillation criterion for a class of ordinary differential equations.Diff. Urav. 28 (1992), 201-214. Zbl 0768.34018, MR 1184921; reference:[11] Marini, M.: Criteri di limitatezza per le soluzioni dell'equazione lineare del secondo ordine.Boll. Un. Mat. Ital. 11 (1975), 154-165. Zbl 0332.34027, MR 0372326; reference:[12] Mojsej, I.: Asymptotic properties of solutions of third-order nonlinear differential equations with deviating argument.Nonlinear Analysis 68 (2008), 3581-3591. Zbl 1151.34053, MR 2401369, 10.1016/j.na.2007.04.001; reference:[13] Mojsej, I., Ohriska, J.: Comparison theorems for noncanonical third order nonlinear differential equations.Central Eur. J. Math. 5 (2007), 154-16. Zbl 1128.34021, MR 2287717, 10.2478/s11533-006-0044-3; reference:[14] Saker, S. H.: Oscillation criteria of Hille and Nehari types for third order delay differential equations.Commun. Appl. Anal. 11 (2007), 451-468. Zbl 1139.34049, MR 2368196; reference:[15] Tiryaki, A., Aktas, M. F.: Oscillation criteria of a certain class of third order nonlinear delay differential equations with damping.J. Math. Anal. Appl. 325 (2007), 54-68. Zbl 1110.34048, MR 2273028, 10.1016/j.jmaa.2006.01.001; reference:[16] Tunc, C.: On the non-oscillation of solutions of some nonlinear differential equations of third order.Nonlinear Dyn. Syst. Theory 7 (2007), 419-430. Zbl 1140.34415, MR 2367678

الاتاحة: http://hdl.handle.net/10338.dmlcz/141583

المؤلفون: Kamo, Ken-ichi, Usami, Hiroyuki

مصطلحات موضوعية: keyword:quasilinear ordinary differential equation, keyword:asymptotic form, keyword:unbounded solution, msc:34C11, msc:34D05, msc:35B40, msc:35D05, msc:35D30, msc:35J62

وصف الملف: application/pdf

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الاتاحة: http://hdl.handle.net/10338.dmlcz/140447

المؤلفون: Sugie, Jitsuro, Onitsuka, Masakazu

مصطلحات موضوعية: keyword:global asymptotic stability, keyword:half-linear differential systems, keyword:growth conditions, keyword:eigenvalue, msc:34D05, msc:34D23, msc:37B25, msc:37B55

وصف الملف: application/pdf

Relation: mr:MR2493428; zbl:Zbl 1212.34156; reference:[1] Agarwal, R. P., Grace, S. R., O’Regan, D.: Oscillation Theory for Second Order Linear, Half-linear, Superlinear and Sublinear Dynamic Equations.Kluwer Academic Publishers, Dordrecht-Boston-London, 2002. Zbl 1073.34002, MR 2091751; reference:[2] Bihari, I.: On the second order half-linear differential equation.Studia Sci. Math. Hungar. 3 (1968), 411–437. Zbl 0167.37403, MR 0267190; reference:[3] Coppel, W. A.: Stability and Asymptotic Behavior of Differential Equations.Heath, Boston, 1965. Zbl 0154.09301, MR 0190463; reference:[4] Desoer, C. A.: Slowly varying system $\dot{x}=A(t)x$.IEEE Trans. Automat. Control AC-14 (1969), 780–781. MR 0276562, 10.1109/TAC.1969.1099336; reference:[5] Dickerson, J. R.: Stability of linear systems with parametric excitation.Trans. ASME Ser. E J. Appl. Mech. 37 (1970), 228–230. 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الاتاحة: http://hdl.handle.net/10338.dmlcz/119771