Title
Impulsive Evolution Equations with Causal Operators.
Abstract
In this paper, we establish sufficient conditions for the existence of mild solutions for certain impulsive evolution differential equations with causal operators in separable Banach spaces. We rely on the existence of mild solutions for the strongly continuous semigroups theory, the measure of noncompactness and the Schauder fixed point theorem. We consider the impulsive integro-differential evolutions equation and impulsive reaction diffusion equations (which could include symmetric kernels) as applications to illustrate our main results.
Year
DOI
Venue
2020
10.3390/sym12010048
SYMMETRY-BASEL
Keywords
Field
DocType
impulsive evolution equation,measure of noncompactness,existence result
Differential equation,Schauder fixed point theorem,Mathematical analysis,Separable space,Banach space,Pure mathematics,Operator (computer programming),Reaction–diffusion system,Mathematics
Journal
Volume
Issue
Citations 
12
1
0
PageRank 
References 
Authors
0.34
0
4
Name
Order
Citations
PageRank
Tahira Jabeen100.34
Ravi P. Agarwal212751.30
Vasile Lupulescu31048.17
Donal O'Regan416346.52