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Square-mean asymptotically almost periodic solutions of second order nonautonomous stochastic evolution equations - MaRDI portal

Square-mean asymptotically almost periodic solutions of second order nonautonomous stochastic evolution equations (Q2133249)

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Square-mean asymptotically almost periodic solutions of second order nonautonomous stochastic evolution equations
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    Square-mean asymptotically almost periodic solutions of second order nonautonomous stochastic evolution equations (English)
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    29 April 2022
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    By using the fixed point theorem via contraction of the induced map, the existence and unqiuenss are derived for square-mean asymptotically almost periodic mild solutions of semilinear SPDEs, as second order nonautonomous stochastic evolution equations in Hilbert spaces. A concrete example is presented to illustrate the general result.
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    square-mean asymptotically almost periodic function
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    mild solution
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    second order nonautonomous stochastic evolution equations
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