Existence of solutions to differential inclusions with primal lower nice functions

Date

2016-02-10

Authors

Fetouci, Nora
Yarou, Mustapha

Journal Title

Journal ISSN

Volume Title

Publisher

Texas State University, Department of Mathematics

Abstract

We prove the existence of absolutely continuous solutions to the differential inclusion ẋ(t) ∈ F(x(t)) + h(t, x(t)), where F is an upper semi-continuous set-valued function with compact values such that F(x, t)) ⊂ ∂ƒ(x(t)) on [0, T], where ƒ is a primal lower nice function, and h a single valued Carathéodory perturbation.

Description

Keywords

Evolution problem, Differential inclusion, Primal lower nice functions, Caratheodory perturbation

Citation

Fetouci, N., & Yarou, M. F. (2016). Existence of solutions to differential inclusions with primal lower nice functions. <i>Electronic Journal of Differential Equations, 2016</i>(48), pp. 1-9.

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Attribution 4.0 International

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This work is licensed under a Creative Commons Attribution 4.0 International License.

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