| 一类算子方程的逆问题及其应用 |
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| 引用本文： | 高峰.一类算子方程的逆问题及其应用[J].南方冶金学院学报,1992,13(4):344-349. |
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| 作者姓名： | 高峰 |
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| 作者单位： | 南方冶金学院基础部 |
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| 摘 要： | 讨论了一类非齐次算子方程的逆问题,在最优意义下,证明了逆问题解的存在性、唯一性和W稳定性,并借助本征函数法得到了解的表达式。最后,给出了一个应用。
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| 关 键 词： | 算子方程 逆问题 适定性 解的表示 |
The Inverse Problem of a Class of Operator Equations and Its Applications |
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| Gao Feng.The Inverse Problem of a Class of Operator Equations and Its Applications[J].Journal of Southern Institute of Metallurgy,1992,13(4):344-349. |
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| Authors: | Gao Feng |
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| Affiliation: | Department of Basic Courses |
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| Abstract: | In this paper, the inverse problem of a class of non-homogeneous operator equations is discussed, with the best meaning given, the existence, uniqueness and the w* -stability of the solution are proven, and by means of eigen functions the representation formula of the solution is obtained. Finally an application is given. |
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| Keywords: | operator equation inverse problem stability representation of the solution |
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