Banach空间积-微分方程两点边值问题 |
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引用本文: | 宋光兴. Banach空间积-微分方程两点边值问题[J]. 数学学报, 2000, 43(3): 555-560. DOI: cnki:ISSN:0583-1431.0.2000-03-020 |
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作者姓名: | 宋光兴 |
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作者单位: | 石油大学应用数学系!山东东营257062 |
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摘 要: | 本文利用一些新的微分和积分不等式研究了Banach空间中积-微分方程的 两点边值问题解的存在唯一性,给出了解的隐式迭代序列和误差估计式.
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关 键 词: | 积-微分方程 单调迭代方法 微分和积分不等式 |
修稿时间: | : |
Two-Point Boundary Value Problems of Integro-Differential Equations in Banach Spaces |
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Affiliation: | SONG Guang-xing (Department of Applied Mathematics, University of Petroleum, Dongying 257062, P. R. China) |
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Abstract: | In this paper, by use of some new differential and integral inequalities, the unique solution and iterative approximation of the two-point boundary value problem for integro-differential equations in Banach spaces are investigated. |
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