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On a nonlinear stochastic evolution equation - MaRDI portal

On a nonlinear stochastic evolution equation (Q1201353)

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scientific article; zbMATH DE number 97814
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English
On a nonlinear stochastic evolution equation
scientific article; zbMATH DE number 97814

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    On a nonlinear stochastic evolution equation (English)
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    17 January 1993
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    The authors consider nonlinear stochastic evolution equations of the general form in a Hilbert space. By means of the general method of successive approximations they study the existence and the uniqueness of so-called mild solutions of such equations. Error estimates are given. The continuous dependence of the solution on the right hand sides of the equations is investigated. An example is given.
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    nonlinear stochastic evolution equations
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    existence and uniqueness
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    mild solutions
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