On nonlocal Cauchy problems for constrained differential inclusions in Euclidean space

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:437

Article

Pietkun, Radoslaw¹ 

[1] Kwitnacej Jabloni 15, PL-87100 Torun, Poland

关键词: Differential inclusion with constraints;    Generalized gradient;    Topological degree;    Fredholm operator;    Nonlocal boundary value problem;    Floquet problem;   

DOI  :  10.1016/j.jmaa.2016.01.038

来源: Elsevier

【 摘 要 】

We investigate the existence of solutions of constrained nonlinear differential inclusions with nonlocal boundary conditions. Our viability theorems are based on the assumption that the right-hand side of differential inclusion is defined on the domain possessing a certain type of geometric regularity, expressed in terms of locally Lipschitz functional constraints. For solvability of the Floquet boundary value problems associated with differential inclusions we engage the bound set technique. It relies on the usage of not necessarily differentiable bounding functions. (C) 2016 Elsevier Inc. All rights reserved.

【 授权许可】

Free