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- Title
Approximate Controllability and Ulam Stability for Second-Order Impulsive Integrodifferential Evolution Equations with State-Dependent Delay.
- Authors
Bensalem, Abdelhamid; Salim, Abdelkrim; Benchohra, Mouffak; N'Guérékata, Gaston
- 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.
- Subjects
INTEGRO-differential equations; EVOLUTION equations; FIXED point theory; RESOLVENTS (Mathematics); OPERATOR theory; CARLEMAN theorem; IMPULSIVE differential equations
- Publication
International Journal of Differential Equations, 2024, Vol 2024, p1
- ISSN
1687-9643
- Publication type
Article
- DOI
10.1155/2024/8567425