| 无限区间上的 Banach 空间积-微分方程的初值问题的上下解方法 |
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| 引用本文： | 王建国.无限区间上的 Banach 空间积-微分方程的初值问题的上下解方法[J].系统科学与数学,1999,19(2):196-204. |
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| 作者姓名： | 王建国 |
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| 作者单位： | 山东大学数学系!济南，250100 |
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| 摘 要： | 建立了无限区间上的积一微分方程的比较定理，用上下解方法证明了无限区间上的Banach空间积-微分方程的初值问题的解的存在性．
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| 关 键 词： | Banach空间 积-微分方程 上下解方法 非紧性测度 锥 |
THE LOWER-UPPER SOLUTION METHOD OF INTEGRO-DIFFERENTIAL EQUATIONS ON INFINITE INTERVAL IN BANACH SACES |
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| Jian Guo WANG.THE LOWER-UPPER SOLUTION METHOD OF INTEGRO-DIFFERENTIAL EQUATIONS ON INFINITE INTERVAL IN BANACH SACES[J].Journal of Systems Science and Mathematical Sciences,1999,19(2):196-204. |
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| Authors: | Jian Guo WANG |
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| Institution: | Department of Mathematics, Shandong University, Jinan 250100,P.R.China |
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| Abstract: | We establish the comparison theorem of integro--differential equations on infinite interval, and, by applying the lower-upper solution method, prove the existence of extreme solutions for nonlinear first order integro-differential equations on infinite interval in Banach spaces. |
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| Keywords: | Banach space integro-differential equation lower-upper solution method kuratowski measure of non-compactness cone |
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