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Eigenvalue Problem of Doubly Stochastic Hamiltonian Systems with Boundary Conditions 被引量：1

Eigenvalue Problem of Doubly Stochastic Hamiltonian Systems with Boundary Conditions
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摘要 In this paper, we investigate the eigenvalue problem of forward-backward doubly stochastic dii^erential equations with boundary value conditions. We show that this problem can be represented as an eigenvalue problem of a bounded continuous compact operator. Hence using the famous Hilbert-Schmidt spectrum theory, we can characterize the eigenvalues exactly. In this paper, we investigate the eigenvalue problem of forward-backward doubly stochastic dii^erential equations with boundary value conditions. We show that this problem can be represented as an eigenvalue problem of a bounded continuous compact operator. Hence using the famous Hilbert-Schmidt spectrum theory, we can characterize the eigenvalues exactly.
作者 HAN YUE-CAI MA YONG
机构地区 School of Mathematics School of Mathematics
出处 《Communications in Mathematical Research》 CSCD 2009年第1期30-36,共7页 数学研究通讯（英文版）
基金 The NSF (10601019 and J0630104) of China Chinese Postdoctoral Science Foundation and 985 Program of Jilin University.
关键词 doubly stochastic Hamiltonian system eigenvalue problem spectrum theory doubly stochastic Hamiltonian system, eigenvalue problem, spectrum theory
分类号 O241.6 [理学—计算数学] O175.1 [理学—基础数学]
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参考文献14

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Communications in Mathematical Research
2009年 第1期

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