Approximate Controllability and Ulam Stability for Second-Order Impulsive Integrodifferential Evolution Equations with State-Dependent Delay

Abdelhamid Bensalem, Abdelkrim Salim, Mouffak Benchohra, Gaston N’Guérékata and Amar Nath Chatterjee

International Journal of Differential Equations, 2024, vol. 2024, 1-21

Abstract: In this paper, we shall establish sufficient conditions for the existence, approximate controllability, and Ulam–Hyers–Rassias stability of solutions for impulsive integrodifferential equations of second order with state-dependent delay using the resolvent operator theory, the approximating technique, Picard operators, and the theory of fixed point with measures of noncompactness. An example is presented to illustrate the efficiency of the result obtained.

Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnijde:8567425

DOI: 10.1155/2024/8567425

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