Academic Journal

Interval oscillation of second-order Emden-Fowler neutral delay differential equations

التفاصيل البيبلوغرافية
العنوان: Interval oscillation of second-order Emden-Fowler neutral delay differential equations
المؤلفون: Mu Chen, Zhiting Xu
المصدر: Electronic Journal of Differential Equations, Vol 2007, Iss 58, Pp 1-9 (2007)
بيانات النشر: Texas State University, 2007.
سنة النشر: 2007
المجموعة: LCC:Mathematics
مصطلحات موضوعية: Interval oscillation, neutral delay differential equation, Emden-Fowler, Riccati technique, integral averaging method., Mathematics, QA1-939
الوصف: Employing Riccati techniques and the integral averaging method, we establish interval oscillation criteria for the second-order Emden-Fowler neutral delay differential equation $$ [|x'(t)|^{gamma-1}x'(t)]'+q_1(t)|y(t-sigma)|^{alpha-1}y(t-sigma) +q_2(t)|y(t-sigma)|^{eta-1} y(t-sigma)=0, $$ where $tgeq t_0$ and $x(t)=y(t)+p(t)y(t-au)$. The criteria obtained here are different from most known criteria in the sense that they are based on information only on a sequence of subintervals of $[t_0,infty)$, rather than on the whole half-line. In particular, two interesting examples that illustrate the importance of our results are included.
نوع الوثيقة: article
وصف الملف: electronic resource
اللغة: English
تدمد: 1072-6691
Relation: http://ejde.math.txstate.edu/Volumes/2007/58/abstr.html; https://doaj.org/toc/1072-6691
URL الوصول: https://doaj.org/article/caa09de2f2e44fc2ab9f813ce0528054
رقم الانضمام: edsdoj.09de2f2e44fc2ab9f813ce0528054
قاعدة البيانات: Directory of Open Access Journals