Impulsive semilinear differential inclusions: Topological structure of the solution set and solutions on non-compact domains

This paper deals with an impulsive Cauchy problem governed by the semilinear evolution differential inclusion x ′ ( t ) ∈ A ( t ) x ( t ) + F ( t , x ( t ) ) , where { A ( t ) } t ∈ [ 0 , b ] is a family of linear operators (not necessarily bounded) in a Banach space E generating an evolution operat...

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Bibliographic Details
Published in:	Nonlinear analysis Vol. 69; no. 1; pp. 73 - 84
Main Authors:	Cardinali, Tiziana, Rubbioni, Paola
Format:	Journal Article
Language:	English
Published:	Amsterdam Elsevier Ltd 01.07.2008 Elsevier
Subjects:	Evolution system Exact sciences and technology Impulsive semilinear evolution differential inclusion Mathematical analysis Mathematics Measure of non-compactness Mild solution Ordinary differential equations Sciences and techniques of general use Upper semicontinuous multifunction Measure of non-compactness 34B15 34A37 Evolution system Impulsive semilinear evolution differential inclusion Upper semicontinuous multifunction Mild solution 34A60 34G25 Impulsive inclusion 4G25; 34A37; 34A60; 34B15 Differential inclusion Mathematical model Impulsive semilinear evolution differential inclusion; Evolution system; Mild solution; Measure of non-compactness; Upper semicontinuous multifunction Nonlinear analysis
ISSN:	0362-546X, 1873-5215
Online Access:	Get full text
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