Existence and uniqueness of mild solutions for impulsive semi linear differential equations in a Banach space

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Berrezoug Halimi, Khelifa Daoudi

Abstract

This paper is devoted to study the uniqueness and existence of mild solutions for impulsive semilinear differential equations, we assume that the linear part generates a strongly continuous semigroup on a general Banach space in a Banachspace. The arguments are based upon Banach’s, Mönch’s and Darbo’sfixed point theorems and the technique of measure of noncompactness. Finally, an illustrative example is given to illustrate the results.

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How to Cite
Berrezoug Halimi, Khelifa Daoudi. (2022). Existence and uniqueness of mild solutions for impulsive semi linear differential equations in a Banach space. Turkish Journal of Computer and Mathematics Education (TURCOMAT), 13(2), 17–25. https://doi.org/10.17762/turcomat.v13i2.12115
Section
Research Articles