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周期-积分边值问题的最优可解性 被引量:1
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作者 宋新 杨雪 《吉林大学学报(理学版)》 CAS CSCD 北大核心 2010年第6期951-952,共2页
应用最优控制理论给出了二阶微分方程周期-积分边值问题的最优可解性条件.
关键词 二阶微分方程 周期-积分边值问题 最优可解性条件
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Periodic Boundary Value Problems for Second Order Integro-Differential Equations in Banach Spaces 被引量:2
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作者 洪世煌 《Journal of Mathematical Research and Exposition》 CSCD 北大核心 2002年第3期337-344,共8页
This paper investigates the maximal and minimal solutions of periodic boundary value problems for second order integro-differential equations in Banach spaces by establishing a comparison result and using the monotone... This paper investigates the maximal and minimal solutions of periodic boundary value problems for second order integro-differential equations in Banach spaces by establishing a comparison result and using the monotone iterative method. 展开更多
关键词 Ordered Banach space maximal and minimal solutions periodic boundary value problems.
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PERIODIC BOUNDARY VALUE PROBLEMS FOR IMPULSIVE INTEGRO-DIFFERENTIAL EQUATIONS OF MIXED TYPE IN BANACH SPACES 被引量:12
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作者 LIUXINZHI GUODAJUN 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 1998年第4期517-528,共12页
This paper investigates periodic boundary value problem for first order nonlinear impulsive integro-differelltial equations of mixed type in a Banach space. By establishing a comparison result, criteria on the existen... This paper investigates periodic boundary value problem for first order nonlinear impulsive integro-differelltial equations of mixed type in a Banach space. By establishing a comparison result, criteria on the existence of maximal and minimal solutions are obtained. 展开更多
关键词 Periodic boundary Value problem Impulsive integro-differential equation Ordered Banach space Maximal solution Minimal solution
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