作者:吴博，范虹霞
Authors:WUBo,FANHongxia摘要:在 Hilbert 空间中研究 一 类具有瞬时脉冲的二 阶非自治随机发展方程温和解的存在性 。在不要求发展 系统紧性的条件下 , 利用 Sadovskii ′s 不动点定理和非紧性测度理论得到了该方程温和解的存在性结论 , 并给出 一 个例子说明了所获的结果。
Abstract:The existence of mild solutions for a class of second-order non-autonomous stochastic evolution equations with instantaneous impulses is studied in Hilbert space. By using Sadovskii ′ s fixed point theorem and the theory of measure of noncompactness , the existence of the mild solution of the equation is obtained without the necessity of assuming that the corresponding evolution family is noncompact. Finally , one example is given to illustrate our main results.

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