Turkish Journal of Computer and Mathematics Education
Journal license

Journal

Turkish Journal of Computer and Mathematics Education


Volume
& Issue

Volume 13, Issue 2


Published
on


Pages

17-25


DOI

Article

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


Authors

Halimia Berrezoug Affiliation:
University of Saida Dr Moulay Tahar, Bp 138 Ennasr 20000 Saida, Algeria; Laboratory of water ressources and environnement, University of Saida, Algeria
and Khelifa Daoudi Affiliation:
University Center of Nour Bachir El-Bayadh, El-Bayadh, Algeria, Institute of Sciences, BP 900 32000, El-Bayadh, Algeria; Laboratory of Mathematics, University of Sidi Bel-Abbès, Algeria


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's fixed point theorems and the technique of measure of noncompactness. Finally, an illustrative example is given to illustrate the results.


Keywords

Impulsive Differential Equations, semilinear, fixed point, existence and uniqueness, semigroup of linear operators, measure of noncompactness


Citation

Berrezoug, H. & Daoudi, K. (2022). Existence and uniqueness of mild solutions for impulsive semilinear differential equations in a banach space. Turkish Journal of Computer and Mathematics Education, 13(2), 17–25.

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