一类中立型随机发展方程解的存在性与正则性

Abstract

Abstract:

In this paper, we study the existence and regularity of solutions for a class of neutral stochastic partial functional integro-differential equations in Hilbert space. By using resolvent operator theory and fixed point theorem, the existence results of mild solutions on Hilbert space $X$ and $X_{\alpha}$ are obtained. It is verified that the mild solution of the equation is its classical solution under some conditions, which generalizes the relevant results.

Key words: Neutral stochastic integro-differential equation, Regularity, Mild solution, Resolvent operator theory, Fixed point theorem

CLC Number:

O175.6

Song Yuying, Fan Hongxia. Existence and Regularity of Solutions for a Class of Neutral Stochastic Evolution Equations[J].Acta mathematica scientia,Series A, 2023, 43(1): 238-248.

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References 18

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Existence and Regularity of Solutions for a Class of Neutral Stochastic Evolution Equations

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