Existence of solutions for semi-linear abstract differential equations with not instantaneous impulses

In this paper, using the theory of analytic semigroup and fractional power of closed operators we study the existence of solutions for a class of semi-linear abstract impulsive differential equations with not instantaneous impulses. Some applications involving partial differential equations with imp...

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Bibliographic Details
Published inApplied mathematics and computation Vol. 219; no. 12; pp. 6743 - 6749
Main Authors Pierri, Michelle, O’Regan, Donal, Rolnik, Vanessa
Format Journal Article
LanguageEnglish
Published Elsevier Inc 15.02.2013
Subjects
Analytic [formula omitted]-semigroup
Computation
Differential equations
Group theory
Impulses
Impulsive differential equation
Mathematical analysis
Mathematical models
Mild solution
Operators
Partial differential equations
Impulsive differential equation
Analytic C0-semigroup
Mild solution
Partial differential equations
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ISSN0096-3003
1873-5649
DOI10.1016/j.amc.2012.12.084

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Summary:In this paper, using the theory of analytic semigroup and fractional power of closed operators we study the existence of solutions for a class of semi-linear abstract impulsive differential equations with not instantaneous impulses. Some applications involving partial differential equations with impulses are presented.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2012.12.084