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Asymptotic properties of solutions of multidimensional stochastic differential equations

โœ Scribed by G. Kersting


Publisher
Springer
Year
1989
Tongue
English
Weight
916 KB
Volume
82
Category
Article
ISSN
1432-2064

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โœฆ Synopsis


Let XteIR d be the solution of the stochastic equation dX t = b(Xt) dt + a(X,) dWt, where Wt denotes a standard Wiener process. The aim of the paper is to clarify under which conditions the drift term or the diffusion term is of negligible significance for the long term behaviour of X t .


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## Abstract The aim of this paper is to deduce oscillatory and asymptotic behavior of the solutions of the ordinary differential equation equation image and the delay differential equation equation image by comparing these equations with a set of the first order advanced differential inequaliti