Hilbert空间中双曲型随机线性发展方程的显示解(英文)

Explicit Solutions for Hyperbolic Stochastic Linear Evolution Equations in Hilbert Space

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摘要本文研究了Hilbert空间中的双曲型随机线性发展方程 ,证明了 ,在某些条件下得到了用“样本广义解方法”得到这类方程的显示解 ,并利用显示解证明了解的存在性与唯一性 . In this paper hyperbolic stochastic linear evolution equations in Hilbert space are studied. The explicit solutions for the equations by the method of 'generalized sample solutions'are obtained under some conditions. And the existence and uniqueness of the solutions are proved.

作者关爱玲

机构地区华中科技大学数学系

出处《应用数学》 CSCD 北大核心 2001年第S1期1-6,共6页 Mathematica Applicata

基金 SupportinpartbyNSFofChina

关键词双曲型方程随机方程显示解 Hyperbolic equation Stochastic equation Explicit solutions

分类号 O211.63 [理学—概率论与数理统计]

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应用数学

2001年第S1期

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Hilbert空间中双曲型随机线性发展方程的显示解(英文)

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