| 一类二阶积微分方程的必要条件 |
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| 引用本文： | 周爱仁,彭云飞.一类二阶积微分方程的必要条件[J].贵州科学,2011,29(2):10-14. |
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| 作者姓名： | 周爱仁 彭云飞 |
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| 作者单位： | 1. 贵州财经学院数学与统计学分院,贵州,贵阳,550004
2. 贵州大学理学院数学系,贵州,贵阳,550025 |
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| 基金项目： | 国家自然科学基金，霍英东教育基金，贵州省科技厅自然科学基金 |
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| 摘 要： | 本文讨论了二阶非线性积微分方程所决定的一类Lagranga问题的必要条件.引进系统合理的温和解,证明了系统温和解的存在性.进一步用直接方法导出了最优化的必要条件.
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| 关 键 词： | 二阶方程 最优化的必要条件 存在性 温和解 |
7Necessary Condition of Optimality for a Class of Second Order Integro-differential Equations on Banach Spaces |
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| ZHOU Ai-ren,PENG Yun-fei.7Necessary Condition of Optimality for a Class of Second Order Integro-differential Equations on Banach Spaces[J].Guizhou Science,2011,29(2):10-14. |
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| Authors: | ZHOU Ai-ren PENG Yun-fei |
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| Institution: | 1School of Mathematics and Statistics, Guizhou College of Finace and Economics, Guiyang, Guizhou 550004, China;2 Department of Mathematics, College of Science, Guizhou University, Guiyang, Guizhou 550025, China) |
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| Abstract: | In this paper, a Lagrange problem of systems governed by a class of second order nonlinear integro-differential equations is considered. Introducing reasonable mild solution, we prove the existence of mild solutions. Further, we directly derive the maximum principle for the problem at hand. |
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| Keywords: | Second-order equation necessary conditions of optimality existence mild solution |
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