Article
Stability and mild of solutions forintegro-differential impulsive equations with infinite interval in a Banach space
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Abstract
In this work, we establish several results about the stability, uniqueness and existence of mild solutions for integro-differential impulsive equations with infinite interval in a Banach space; we assume that the linear part generates a strongly continuous semi group on a general Banach space. The arguments are based upon Banach and Leray-Schauder alternative fixed point theorems.
Keywords
Impulsive Differential Equations, fixed point, existence and uniqueness, semi group of linear operators, integro - differential equation, Stability, Banachspace, infinite interval
Citation
Daoudi, K., Halimi, B., & Belaidi, M. (2022). Stability and mild of solutions forintegro-differential impulsive equations with infinite interval in a banach space. Turkish Journal of Computer and Mathematics Education, 13(2), 519–528.
K. Daoudi, B. Halimi and M. Belaidi, “Stability and mild of solutions forintegro-differential impulsive equations with infinite interval in a banach space,” Turkish Journal of Computer and Mathematics Education, vol. 13, no. 2, pp. 519–528, 2022.
Daoudi K, Halimi B, Belaidi M. Stability and mild of solutions forintegro-differential impulsive equations with infinite interval in a banach space. Turkish Journal of Computer and Mathematics Education. 2022;13(2):519–528.
Daoudi, K., Halimi, B. and Belaidi, M. (2022), ‘Stability and mild of solutions forintegro-differential impulsive equations with infinite interval in a banach space’, Turkish Journal of Computer and Mathematics Education, 13(2), pp. 519–528.
Daoudi, Khelifa, et al. “Stability and Mild of Solutions Forintegro-differential Impulsive Equations with Infinite Interval in a Banach Space.” Turkish Journal of Computer and Mathematics Education, vol. 13, no. 2, 2022, pp. 519–528.
Daoudi, Khelifa, Berrezoug Halimi, and Mohamed Belaidi. “Stability and Mild of Solutions Forintegro-differential Impulsive Equations with Infinite Interval in a Banach Space.” Turkish Journal of Computer and Mathematics Education 13, no. 2 (2022): 519–528.
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