On Asymptotic Stability of Nonlinear Stochastic Systems with Delay

dc.creator	Rodkina, A.
dc.date	2005-04-01
dc.date.accessioned	2019-05-03T12:36:48Z
dc.date.available	2019-05-03T12:36:48Z
dc.identifier	http://revistas.ufro.cl/ojs/index.php/cubo/article/view/1617
dc.identifier.uri	http://revistaschilenas.uchile.cl/handle/2250/84343
dc.description	We consider the system of stochastic differential equations with delay and with non-autonomous nonlinear main part Here h ≥ 0, [X]tt - h (s) = X(s), when s ⋲ [t - h, t], t > h, [X]tt - h (s) = 𝜙(s), when s ⋲ [-∞, 0], 𝜙(s) is a given initial process, X= (x1, x2,..., xn)T, ui > 1 are rational numbers with odd numerators and denominators, wt is a Wiener process. For different types of delays in coefficients fi (t, [X]tt - h) and 𝜎i (t, [X]tt - h) we prove almost sure asymptotic stability of a trivial solution to the system (1) when 𝜙(s) ≡ 0.	en-US
dc.format	application/pdf
dc.language	eng
dc.publisher	Universidad de La Frontera. Temuco, Chile.	en-US
dc.relation	http://revistas.ufro.cl/ojs/index.php/cubo/article/view/1617/1468
dc.source	CUBO, A Mathematical Journal; Vol. 7 Núm. 1 (2005): CUBO, A Mathematical Journal; 23-42	es-ES
dc.source	CUBO, A Mathematical Journal; Vol 7 No 1 (2005): CUBO, A Mathematical Journal; 23-42	en-US
dc.source	0719-0646
dc.source	0716-7776
dc.title	On Asymptotic Stability of Nonlinear Stochastic Systems with Delay	en-US
dc.type	info:eu-repo/semantics/article
dc.type	info:eu-repo/semantics/publishedVersion