Academic Journal
BV Solutions to Evolution Inclusion with a Time and Space Dependent Maximal Monotone Operator
| العنوان: | BV Solutions to Evolution Inclusion with a Time and Space Dependent Maximal Monotone Operator |
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| المؤلفون: | Castaing, Charles, Godet-Thobie, Christiane, Monteiro Marques, Manuel |
| المساهمون: | Institut Montpelliérain Alexander Grothendieck (IMAG), Centre National de la Recherche Scientifique (CNRS)-Université de Montpellier (UM), Laboratoire de Mathématiques de Bretagne Atlantique (LMBA), Université de Bretagne Sud (UBS)-Université de Brest (UBO)-Centre National de la Recherche Scientifique (CNRS), Faculdade de Ciências Lisboa, Universidade de Lisboa = University of Lisbon = Université de Lisbonne (ULISBOA) |
| المصدر: | ISSN: 2227-7390 ; Mathematics ; https://hal.science/hal-04582960 ; Mathematics , 2024, 12 (6), pp.896. ⟨10.3390/math12060896⟩. |
| بيانات النشر: | CCSD MDPI |
| سنة النشر: | 2024 |
| المجموعة: | Université de Montpellier: HAL |
| مصطلحات موضوعية: | [MATH]Mathematics [math] |
| الوصف: | International audience ; This paper deals with the research of solutions of bounded variation (BV) to evolution inclusion coupled with a time and state dependent maximal monotone operator. Different problems are studied: existence of solutions, unicity of the solution, existence of periodic and bounded variation right continuous (BVRC) solutions. Second-order evolution inclusions and fractional (Caputo and Riemann–Liouville) differential inclusions are also considered. A result of the Skorohod problem driven by a time- and space-dependent operator under rough signal and a Volterra integral perturbation in the BRC setting is given. The paper finishes with some results for fractional differential inclusions under rough signals and Young integrals. Many of the given results are novel. |
| نوع الوثيقة: | article in journal/newspaper |
| اللغة: | English |
| DOI: | 10.3390/math12060896 |
| الاتاحة: | https://hal.science/hal-04582960 https://doi.org/10.3390/math12060896 |
| رقم الانضمام: | edsbas.A67AD11E |
| قاعدة البيانات: | BASE |
| DOI: | 10.3390/math12060896 |
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