Solvability of impulsive neutral functional differential inclusions in banach spaces

Autor:	Xianling Ren, Huizhao Liu
Rok vydání:	2008
Předmět:	Unbounded operator Multidisciplinary Picard–Lindelöf theorem Differential inclusion Eberlein–Šmulian theorem Mathematical analysis Banach space Initial value problem Fixed-point theorem C0-semigroup Mathematics
Zdroj:	Transactions of Tianjin University. 14:55-60
ISSN:	1995-8196 1006-4982
Popis:	Impulsive neutral differential inclusions play an important role in characterizing many social, physical and engineering problems, and the existence of solutions for the initial value problem in Banach spaces has been extensively studied. However, in most cases, the nonlinear term on the right-hand side of differential inclusions has to satisfy the compact or continuous assumptions. The object of this paper is to study the existence of solutions to the initial value problems of the first and second order impulsive neutral functional differential inclusions in Banach spaces under some weaker conditions, where the nonlinear term on the right-hand side does not necessarily satisfy the compact and continuous assumptions. Based on a fixed point theorem for discontinuous multivalued increasing operators, the results are obtained by means of the partial ordering method and measure of noncompactness.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::b8e446679719b77554704e4bf28339fb https://doi.org/10.1007/s12209-008-0011-0 Zobrazit plný text záznamu Full text from SpringerLink