具有时变延迟的非线性随机脉冲积分微分演化方程的存在性和稳定性结果

Contemporary Mathematics Pub Date : 2024-01-22 DOI:10.37256/cm.5120242512

Sahar M. A. Maqbol, R. S. Jain, B. S. Reddy

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引用次数: 0

摘要

本研究探讨了具有时变延迟的非线性随机脉冲积分微分方程在充分条件下的存在性、唯一性和稳定性。我们的研究基于 Leray-Schauder 替代定点定理、Pachpatte 不等式和巴拿赫收缩原理。此外，我们还概括、扩展和发展了 Kasinathan 等人的一些结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Existence and Stability Results of Nonlinear Random Impulsive Integro-Differential Evolution Equations with Time-Varying Delays

This study examines the existence, uniqueness, and stability of nonlinear random impulsive integrodifferential equations with time-varying delays under sufficient conditions. Our study is based on the Leray-Schauder alternative fixed point theorem, Pachpatte’s inequality, and the Banach contraction principle. Besides, we generalize, extend, and develop some results for Kasinathan et al.

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Contemporary Mathematics

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