Theoretical analysis establishes sufficient conditions for stability and boundedness in second-order stochastic delay integro-differential equations, highlighting enhanced analytical bounds.
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 provided to demonstrate the applicability of the obtained result, which includes the results of this paper and obtains better results than those available in the literature.
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Mahmoud et al. (2024) studied this question.
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