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. Electronic Journal of Differential Equations, 2016(48), pp. 1-9.
Rights
Attribution 4.0 International
Rights Holder
This work is licensed under a Creative Commons Attribution 4.0 International License.