General decay asymptotic stability of neutral stochastic differential delayed equations with Markov switching

Guangqiang LAN, Fang XIA

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PDF(340 KB)
Front. Math. China ›› 2019, Vol. 14 ›› Issue (4) : 793-818. DOI: 10.1007/s11464-019-0781-9
RESEARCH ARTICLE
RESEARCH ARTICLE

General decay asymptotic stability of neutral stochastic differential delayed equations with Markov switching

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Abstract

The p-th moment and almost sure stability with general decay rate of the exact solutions of neutral stochastic differential delayed equations with Markov switching are investigated under given conditions. Two examples are provided to support the conclusions.

Keywords

Neutral stochastic differential delayed equations with Markov switching (NSDDEswMS) / global solution / general decay rate / p-th moment stability / almost sure stability

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Guangqiang LAN, Fang XIA. General decay asymptotic stability of neutral stochastic differential delayed equations with Markov switching. Front. Math. China, 2019, 14(4): 793‒818 https://doi.org/10.1007/s11464-019-0781-9

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