Existence of viable solutions for nonconvex differential inclusions

Date

2005-05-11

Authors

Bounkhel, Messaoud
Haddad, Tahar

Journal Title

Journal ISSN

Volume Title

Publisher

Texas State University-San Marcos, Department of Mathematics

Abstract

We show the existence result of viable solutions to the differential inclusion ẋ(t) ∈ G(x(t)) + F(t, x(t)) x(t) ∈ S on [0, T], where F : [0, T] x H → H (T > 0) is a continuous set-valued mapping, G : H → H is a Hausdorff upper semi-continuous set-valued mapping such that G(x) ⊂ ∂g(x), where g : H → ℝ is a regular and locally Lipschitz function and S is a ball, compact subset in a separate Hilbert space H.

Description

Keywords

Uniformly regular functions, Normal cone, Nonconvex differential inclusions

Citation

Bounkhel, M., & Haddad, T. (2005). Existence of viable solutions for nonconvex differential inclusions. <i>Electronic Journal of Differential Equations, 2005</i>(50), pp. 1-10.

Rights

Attribution 4.0 International

Rights Holder

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

Rights License