Title
Existence of solutions for semi-linear abstract differential equations with not instantaneous impulses
Abstract
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.
Year
DOI
Venue
2013
10.1016/j.amc.2012.12.084
Applied Mathematics and Computation
Keywords
Field
DocType
closed operator,semi-linear abstract differential equation,semi-linear abstract impulsive differential,partial differential equation,fractional power,analytic semigroup,instantaneous impulse,partial differential equations
Differential equation,Mathematical optimization,C0-semigroup,Exponential integrator,Mathematical analysis,Linear differential equation,Analytic semigroup,Numerical partial differential equations,Differential algebraic equation,Stochastic partial differential equation,Mathematics
Journal
Volume
Issue
ISSN
219
12
0096-3003
Citations 
PageRank 
References 
8
1.20
2
Authors
3
Name
Order
Citations
PageRank
Michelle Pierri1243.94
Donal O'Regan216346.52
Vanessa Rolnik381.54