Issue Information
روزنامه با شماره پیاپی سال 2003
Pages
35
From page
271
To page
305
Abstract
We consider non-linear stochastic functional differential equations (sfdeʹs) on Euclidean space. We give sufficient conditions for the sfde to admit locally compact smooth cocycles on the underlying infinite-dimensional state space. Our construction is based on the theory of finite-dimensional stochastic flows and a non-linear variational technique. In Part II of this article, the above result will be used to prove a stable manifold theorem for non-linear sfdeʹs
Journal title
Journal of Functional Analysis
Serial Year
2003
Journal title
Journal of Functional Analysis
Record number
709232
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