Stochastic Qualitative Criteria for Fifth-Order Nonlinear Delay Differential Equations

Cemil Tunç and Zozan Oktan

Journal of Mathematics, 2026, vol. 2026, 1-13

Abstract: In this paper, we establish sufficient conditions for stochastic asymptotic stability (SAS) of zero solution and uniform stochastic boundedness (USB) of solutions to fifth-order stochastic delay differential equations (SDDEs) with two time-varying delays. By defining an appropriate Lyapunov–Krasovskii functional (LKF), we prove two main theorems on these qualitative concepts. To the best of our knowledge, no prior research has directly investigated fifth-order SDDEs with multiple time-varying delays. Therefore, this study addresses the stability and boundedness analysis of such high-order SDDEs for the first time, filling a notable gap in the literature. The obtained results provide extensions and generalizations of existing results while offering broader applicability compared with previous studies and contributing to the advancement of the related research area.

Date: 2026
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:1801321

DOI: 10.1155/jom/1801321

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