Existence, Uniqueness, and Asymptotic Be
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Takeshi Taniguchi; Kai Liu; Aubrey Truman
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Article
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2002
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Elsevier Science
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English
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In this paper we shall consider the existence, uniqueness, and asymptotic behavior of mild solutions to stochastic partial functional differential equations with finite delay r > 0: dX(t)=[ -AX(t)+f(t, X t )] dt+g(t, X t ) dW(t), where we assume that -A is a closed, densely defined linear operator a