Abstract | ||
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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 Jabeen | 1 | 0 | 0.34 |
Ravi P. Agarwal | 2 | 127 | 51.30 |
Vasile Lupulescu | 3 | 104 | 8.17 |
Donal O'Regan | 4 | 163 | 46.52 |