| Banach空间中的一类二阶积分-微分方程边值问题的解 |
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| 引用本文： | 莫海平,郭林. Banach空间中的一类二阶积分-微分方程边值问题的解[J]. 东北数学, 2002, 18(2): 183-188 |
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| 作者姓名： | 莫海平 郭林 |
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| 作者单位： | [1]DepartmentofMathematics,SuihuaTeacher＇sCollege,Suihua,Heilongjiang,152061 [2]DepartmentofMathematics,ChinaCoalEconomicCollege,Yantai,Shandong,264005 |
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| 基金项目： | The NNSF of China. |
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| 摘 要： | This paper investigates the maximal and minimal solutions of initial value problems for second order nonlinear integro-differential equations of Volterra type on a finite interval in a Banach space by establishing a comparison result and using the monotone iterative technique.
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| 关 键 词： | 微分方程 抽象空间 迭代法 巴拿赫空间 |
Boundary Value Problems for Second-order Integro-differential Equations in Banach Spaces |
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| MO Haiping. Boundary Value Problems for Second-order Integro-differential Equations in Banach Spaces[J]. Northeastern Mathematical Journal, 2002, 18(2): 183-188 |
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| Authors: | MO Haiping |
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| Abstract: | This paper investigates the maximal and minimal solutions of initial value problems for second order nonlinear integro-differential equations of Volterra type on a finite interval in a Banach space by establishing a comparison result and using the monotone iterative technique. |
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| Keywords: | integro-differential equation ordered Banacb space comparison theorem monotone iterative technique |
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