On the qualitative behaviors of stochastic delay integro-differential equations of second order

Abstract In this paper, we investigate the sufficient conditions that guarantee the stability, continuity, and boundedness of solutions for a type of second-order stochastic delay integro-differential equation (SDIDE). To demonstrate the main results, we employ a Lyapunov functional. An example is p...

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Bibliographic Details
Main Authors: Ayman M. Mahmoud, Cemil Tunç
Format: Article
Language:English
Published: SpringerOpen 2024-03-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:https://doi.org/10.1186/s13660-024-03085-6