Article
Existence and uniqueness of mild solutions for impulsive semilinear differential equations in a Banach space
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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.
H. Berrezoug and K. Daoudi, “Existence and uniqueness of mild solutions for impulsive semilinear differential equations in a banach space,” Turkish Journal of Computer and Mathematics Education, vol. 13, no. 2, pp. 17–25, 2022.
Berrezoug H, Daoudi K. Existence and uniqueness of mild solutions for impulsive semilinear differential equations in a banach space. Turkish Journal of Computer and Mathematics Education. 2022;13(2):17–25.
Berrezoug, H. and 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), pp. 17–25.
Berrezoug, Halimia, and Khelifa Daoudi. “Existence and Uniqueness of Mild Solutions for Impulsive Semilinear Differential Equations in a Banach Space.” Turkish Journal of Computer and Mathematics Education, vol. 13, no. 2, 2022, pp. 17–25.
Berrezoug, Halimia, and Khelifa Daoudi. “Existence and Uniqueness of Mild Solutions for Impulsive Semilinear Differential Equations in a Banach Space.” Turkish Journal of Computer and Mathematics Education 13, no. 2 (2022): 17–25.
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Published by: Engineering Journals


