Article ID Journal Published Year Pages File Type
4643414 Journal of Computational and Applied Mathematics 2006 7 Pages PDF
Abstract

Sufficient and necessary conditions for the existence of a stochastically bounded solution of a nonlinear nonhomogeneous stochastic differential equation are found. The stationary and periodic cases are also considered. The results in [O.V. Il’chenko, Stochastically bounded solutions of a linear homogeneous stochastic differential equation, Theor. Probab. Math. Statist. 68 (2004) 41–48] are generalized.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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