多延迟非自治随机Lienard方程解的一些定性性质

Dynamic Systems and Applications Pub Date : 2023-08-22 DOI:10.46719/dsa2023.32.06

Ayman M Mahmoud, Abd Elmotaleb A M A Elamin, Shiraz E A Elhussein, Mawadda E Eboelhasan

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Some Qualitative Properties of Solutions For Multi-Delay Nonautonomous Stochastic Lienard Equation

. In this study, we analyse the nonautonomous multi-delay stochastic Li´enard equation and develop suﬃcient conditions for the equation’s stability and boundedness. The Lyapunov functional (LF) technique is used as the primary instrument in the proofs and we extend and enhance some stability and boundedness conclusions from the literature through our work. Two examples are used to support the correctness and eﬃcacy of the results as an application. Finally, using the Euler-Maruyama method (EM-method), numerical simulations are provided in the ﬁnal part to illustrate the approximative numerical solutions for the Li´enard system under consideration.

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来源期刊

Dynamic Systems and Applications 数学-数学

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0.00%

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审稿时长

>12 weeks

期刊介绍： The aim of this quarterly journal is to provide an international forum for the information in the theory and practice of Dynamic Systems and Applications. This journal publishes carefully selected original research papers from stochastic/deterministic : Differential Equations ,Integral Equations, Integro-Differential Equations, Discrete Analogs of these equations, and Applications.