| 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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| 引用本文： | 关爱玲. Hilbert空间中双曲型随机线性发展方程的显示解(英文)[J]. 应用数学, 2001, 0(Z1) |
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| 作者姓名： | 关爱玲 |
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| 作者单位： | 华中科技大学数学系 湖北武汉 |
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| 基金项目： | SupportinpartbyNSFofChina |
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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 .
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| 关 键 词： | 双曲型方程 随机方程 显示解 |
Explicit Solutions for Hyperbolic Stochastic Linear Evolution Equations in Hilbert Space |
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| GUAN Ai-ling. Explicit Solutions for Hyperbolic Stochastic Linear Evolution Equations in Hilbert Space[J]. Mathematica Applicata, 2001, 0(Z1) |
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| Authors: | GUAN Ai-ling |
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| Abstract: | 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. |
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| Keywords: | Hyperbolic equation Stochastic equation Explicit solutions |
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