In this paper, we study the existence of square-mean asymptotically almost periodic mild solutions for a class of second order nonautonomous stochastic evolution equations in Hilbert spaces. By using the principle of Banach contractive mapping principle, the existence and uniqueness of square-mean asymptotically almost periodic mild solutions of the equation are obtained. To illustrate the abstract result, a concrete example is given.
Citation: Jinghuai Liu, Litao Zhang. Square-mean asymptotically almost periodic solutions of second order nonautonomous stochastic evolution equations[J]. AIMS Mathematics, 2021, 6(5): 5040-5052. doi: 10.3934/math.2021298
In this paper, we study the existence of square-mean asymptotically almost periodic mild solutions for a class of second order nonautonomous stochastic evolution equations in Hilbert spaces. By using the principle of Banach contractive mapping principle, the existence and uniqueness of square-mean asymptotically almost periodic mild solutions of the equation are obtained. To illustrate the abstract result, a concrete example is given.
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Jinghuai Liu, Litao Zhang. Square-mean asymptotically almost periodic solutions of second order nonautonomous stochastic evolution equations[J]. AIMS Mathematics, 2021, 6(5): 5040-5052. doi: 10.3934/math.2021298
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