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Existence and uniqueness of solutions for systems of discontinuous differential equations under localized Bressan–Shen transversality conditions

  • Published:2020-12 Issue:1 Volume:492 Page:124425
  • ISSN:0022-247X
  • Container-title:Journal of Mathematical Analysis and Applications
  • language:en
  • Short-container-title:Journal of Mathematical Analysis and Applications

Author:

López Pouso Rodrigo,Rodríguez-López Jorge

Funder

Ministerio de Economía y Competitividad

FEDER

Xunta de Galicia

Publisher

Elsevier BV

Subject

Applied Mathematics,Analysis

Reference22 articles.

1. Topological structure of solution sets to multi-valued asymptotic problems;Andres;Z. Anal. Anwend.,2000

2. Periodic solutions of discontinuous differential systems;Andres;Nonlinear Anal. Forum,2001

3. Differential Inclusions;Aubin,1984

4. Measure Theory, Vol. I;Bogachev,2007

5. Unique solutions for a class of discontinuous differential equations;Bressan;Proc. Am. Math. Soc.,1988

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1. Second–order discontinuous ODEs and billiard problems;Journal of Mathematical Analysis and Applications;2024-08

2. New Lipschitz–type conditions for uniqueness of solutions of ordinary differential equations;Journal of Mathematical Analysis and Applications;2022-10

3. Uniqueness criteria for ordinary differential equations with a generalized transversality condition at the initial condition;Electronic Journal of Qualitative Theory of Differential Equations;2022

4. Transversality conditions for the existence of solutions of first-order discontinuous functional differential equations;Topological Methods in Nonlinear Analysis;2021-09-12

5. First Order Problems;Degree Theory for Discontinuous Operators;2021
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