Asymptotic stability of solutions for a certain non-autonomous second-order stochastic delay differential equation

Autor:	ABOU-EL-ELA, Ahmed Mohamed, SADEK, Abdel-rahiem, MAHMOUD, Ayman Mohammed, FARGHALY, Eman Sayed
Rok vydání:	2017
Předmět:	Asymptotic stability nonautonomous second-order stochastic delay differential equation Lyapunov functional
Zdroj:	Volume: 41, Issue: 3 576-584 Turkish Journal of Mathematics
ISSN:	1300-0098 1303-6149
Popis:	In this paper, sufficient criteria that guarantee the existence of stochastic asymptotic stability of the zero solution of the nonautonomous second-order stochastic delay differential equation \eqref{3e1} were established with the aid of a suitable Lyapunov functional. Two examples are given in the last section to illustrate our main result.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=tubitakulakb::7e97ed8aa8712caf410011ecc51f56f9 https://dergipark.org.tr/tr/pub/tbtkmath/issue/35836/401650 Zobrazit plný text záznamu