| 有界域上波动方程系数反问题的一种求解方法 |
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| 引用本文： | 张莉 彭秋艳. 有界域上波动方程系数反问题的一种求解方法[J]. 哈尔滨师范大学自然科学学报, 1995, 11(1): 23-28 |
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| 作者姓名： | 张莉 彭秋艳 |
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| 作者单位： | 黑龙江商学院，黑龙江省经济管理干部学院 |
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| 摘 要： | 本文讨论了一维波动方程在有界域上系数反演的一种求解方法，交解进行一阶渐近展开，得到相应的反问题，将其转化为第二类Ｖｏｌｔｔｅｒａ型积分方程组，证明了反问题解的存在唯一性。
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| 关 键 词： | 偏微分方程 系数 反问题 波动方程 |
A SOLVING METHOD OF INVERSE PROPLEM BY DETERMINING COEFFICIENT IN LIMIT RANGE FOR WAVE EQUATION |
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| Zhang Li, Peng Qiu Yan. A SOLVING METHOD OF INVERSE PROPLEM BY DETERMINING COEFFICIENT IN LIMIT RANGE FOR WAVE EQUATION[J]. Natural Science Journal of Harbin Normal University, 1995, 11(1): 23-28 |
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| Authors: | Zhang Li Peng Qiu Yan |
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| Affiliation: | Zhang Li; Peng Qiu Yan(HeilongjiangCommercial College)(Heilongiiang EconomyManagement Cadre College) |
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| Abstract: | This paper discusses an evaluation method .to determine inverse problem ofone - dimensional wave equation in limit range, which is a gradual expansion inone -order approaching to the solution. By obtaining inverse problem, we turned theinverse problem into integral equations of second Volttera type. The existence anduniqueness of solution of inverse problem was acquired. |
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| Keywords: | Partial differential equation Coeffliient Inverse problem |
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