Differential inclusions with state-dependent impulses on the half-line: New Frechet space of functions and structure of solution sets

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:446

Article

Gabor, Grzegorz¹ 

[1] Nicolaus Copernicus Univ, Fac Math & Comp Sci, Chopina 12-18, PL-87100 Torun, Poland

关键词: Differential inclusion;    State-dependent impulses;    Problems on the half-line;    Solution set;    Topological structure;   

DOI  :  10.1016/j.jmaa.2016.09.046

来源: Elsevier

【 摘 要 】

An R-delta-structure of solution sets to some classes of impulsive differential inclusions with variable impulse times on the half-line is shown. Sufficient conditions on barriers are discussed in detail. They imply two different techniques: the inverse limit method and the one based on a definition of R-delta-sets and used in a new suitable Frechet function space. (C) 2016 Elsevier Inc. All rights reserved.

【 授权许可】

Free