Asymptotic analysis of a certain random differential equation |
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Authors: | Arnaldo C.R. Nogueira |
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Affiliation: | Instituto de Matemática, Universidade Federal do Rio de Janeiro, CEP 21944, Rio de Janeiro, RJ. Brazil |
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Abstract: | We prove a limit theorem for the mathematical expectation of the solution of an initial value problem in a Hilbert space. The random differential equations considered here satisfy a strong mixing condition which is weaker than the one imposed in analogue results (Cogburn and Hersh, 1973; Papanicolaou and Varadhan, 1973). Our motivation to develop this analysis comes from a system (Nogueira, preprint) formed by coupling an external source to the Martin-Emch model (Martin and Emch, 1975). |
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Keywords: | random differential equations Hilbert space strong mixing condition limit theorem |
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