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

IF 1.4 Q2 MATHEMATICS, APPLIED International Journal of Differential Equations Pub Date : 2024-03-29 DOI:10.1155/2024/8567425
A. Bensalem, Abdelkrim Salim, M. Benchohra, G. N’Guérékata
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引用次数: 0

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.
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具有状态延迟的二阶脉冲积分微分演化方程的近似可控性和乌拉姆稳定性
在本文中,我们将利用解析算子理论、近似技术、皮卡尔算子和具有非紧凑性度量的定点理论,为具有状态相关延迟的二阶脉冲积分微分方程的解的存在性、近似可控性和 Ulam-Hyers-Rassias 稳定性建立充分条件。通过一个例子说明了所获结果的效率。
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CiteScore
3.10
自引率
0.00%
发文量
20
审稿时长
20 weeks
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