| 一类抽象Cauchy问题解的渐近性态及应用 |
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| 引用本文： | 王海燕. 一类抽象Cauchy问题解的渐近性态及应用[J]. 东南大学学报(自然科学版), 1993, 23(3): 123-126 |
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| 作者姓名： | 王海燕 |
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| 作者单位： | 东南大学数学力学系 |
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| 摘 要： |
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| 关 键 词： | 边值问题 渐近性态 |
The Asymptotic Behavior of the Solution of an Abstract Cauchy Problem and Its Applications |
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| Wang Haiyan. The Asymptotic Behavior of the Solution of an Abstract Cauchy Problem and Its Applications[J]. Journal of Southeast University(Natural Science Edition), 1993, 23(3): 123-126 |
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| Authors: | Wang Haiyan |
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| Affiliation: | Department of Mathematics and Mechanics |
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| Abstract: | In the paper we discuss the distribution of the discrete eigenvalue with finite algebra multiplicity of a strongly continuous perturbed semigroup and the asymptotic expansion of this semigroup. As the application, the positive solution of the transport equation which is non-isotropic scattering, continue energy, nonhomogeneous bound convex body with generalized reflected boundary condition is well posed and we also get its asymptotic behavior. |
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| Keywords: | Cauchy problem semigroup transport equation / eigenvalue |
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