| ON AN INVERSE INITIAL-BOUNDARY VALUE PROBLEM FOR A ONE-DIMENSIONAL HYPERBOLIC SYSTEM OF DIFFERENTIAL EQUATIONS |
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| 引用本文： | 窦学丽,朱本仁. ON AN INVERSE INITIAL-BOUNDARY VALUE PROBLEM FOR A ONE-DIMENSIONAL HYPERBOLIC SYSTEM OF DIFFERENTIAL EQUATIONS[J]. 应用数学学报(英文版), 1997, 13(1): 33-44. DOI: 10.1007/BF02020479 |
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| 作者姓名： | 窦学丽 朱本仁 |
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| 作者单位： | DOU XUELI (Beijing Research Institute for Remote Sensing Information，Beijing 100011，China)ZHU BENREN (Department of Mathematics，Shandong University，jinan 250100，China) |
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| 摘 要： | 1.IntroductionTheproblemstodeterminethecoefficientsindifferentialequationsfromknownfunctionaloftheirsolutionsareoftencalledinverseproblems.Amongtheseproblemsthesimplestisaboutone-dimensionalwaveequations.Thisproblemcanbediscussedinthetimedomainorinthefreq…
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| 收稿时间： | 1993-06-24 |
On an inverse initial-boundary value problem for a one-dimensional hyperbolic system of differential equations |
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| Xueli Dou,Benren Zhu. On an inverse initial-boundary value problem for a one-dimensional hyperbolic system of differential equations[J]. Acta Mathematicae Applicatae Sinica, 1997, 13(1): 33-44. DOI: 10.1007/BF02020479 |
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| Authors: | Xueli Dou Benren Zhu |
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| Affiliation: | (1) Beijing Research Institute for Remote Sensing Information, 100011 Beijing, China;(2) Department of Mathematics, Shandong University, 250100 Jinan, China |
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| Abstract: | In this paper, the inverse boundary value problem of the hyperbolic system of first-order deferential equations is discussed. The estimate of the solution and the quantitative analysis about its stability are obtained, and some stability criteria are established. |
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| Keywords: | Inverse problem hyperbolic equations eigenvalue problem spectral function integral kernel stability |
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