| 含间断项的非线性积分、微分方程极解的存在性 |
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| 引用本文： | 谢胜利. 含间断项的非线性积分、微分方程极解的存在性[J]. 大学数学, 1996, 0(4) |
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| 作者姓名： | 谢胜利 |
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| 作者单位： | 安徽宿州师专数学系 |
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| 摘 要： | 在不涉及紧型条件和耗散型条件的情形下，证明了Ｂａｎａｃｈ空间中含间断项的非线性积分、微分方程极解的存在性，推广了文［１］、［２］和［３］中的结果．
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| 关 键 词： | 锥，半序，增算子，积分方程和微分方程，最大解和最小解，Banach空间 |
Existence of Extremal Solution for Nonlinear Integral and Differential Equations with Discontinuous Terms |
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| Xie Shengli. Existence of Extremal Solution for Nonlinear Integral and Differential Equations with Discontinuous Terms[J]. College Mathematics, 1996, 0(4) |
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| Authors: | Xie Shengli |
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| Abstract: | In the condition of not involving compactness type and dissipative type, we prove the existence of extremal solution for nonlinear integral and differential equations with discontinuous terms in Banach spaces and generalize results in papers [1]. [2] and [3]. |
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| Keywords: | Cone. Partical ordered Fixed point Increasing operator Integral and differential equation. Maximal and minimal solution Banach Spaces. |
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