| 非线性Volterra积分方程非平凡解的逼近方法及其应用 |
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| 引用本文： | 谢鸿政,谢鸿伟.非线性Volterra积分方程非平凡解的逼近方法及其应用[J].应用数学学报,1995,18(4):499-509. |
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| 作者姓名： | 谢鸿政 谢鸿伟 |
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| 作者单位： | 哈尔滨工业大学数学系，黑龙江省教育学院物理系 |
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| 摘 要： | 本文对一类具有卷积核的非线性Ｖｏｌｔｅｒｒａ型积分方程进行了讨论，给出了关于这类方程的非平凡解的存在性和解的逼近方法的一些结果。通过有关微分方程问题的实例，说明了所给结果的重要应用。
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| 关 键 词： | 积分方程 非平凡解 伏特拉积分方程 逼近法 |
APPROXIMATE METHOD OF THE NON-TRIVIAL SOLUTIONS ON NONLINEAR VOLTERRA INTEGRAL EQUATION AND ITS APPLICATION |
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| XIE HONGZENG.APPROXIMATE METHOD OF THE NON-TRIVIAL SOLUTIONS ON NONLINEAR VOLTERRA INTEGRAL EQUATION AND ITS APPLICATION[J].Acta Mathematicae Applicatae Sinica,1995,18(4):499-509. |
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| Authors: | XIE HONGZENG |
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| Abstract: | In this paper, we discuss one kind of nonlinear Volterra integral equation with the convolution kernel, and give some results on the uniqueness and approximate method of the non-trivial solutions of this equation. In terms of the examples relating to the problems of differential equations, show their application. |
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| Keywords: | Convolution kernel Volterra integral equation non-trivial solution |
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