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二阶非线性微分方程的斜周期边值问题
引用本文:翟延慧,黄庆道,等. 二阶非线性微分方程的斜周期边值问题[J]. 东北数学, 2002, 18(1): 73-78
作者姓名:翟延慧  黄庆道  
作者单位:ZHAI Yanhui (Department of Mathematics,Changchun Normal College,Changchun,130032)HUANG Qingdao (Department of Mathematics,Jilin University,Changchun,130012)HAN Yuecai (Department of Mathematics,Jilin University,Changchun,130012)
基金项目:The NNSP(10101030) of China.
摘    要:
In this paper a uniqueness theorem for a skewperiodic boundary value problem is obtained. By using the optimal control method, we derive the best estimate for the integration mean ensuring that the results hold.

关 键 词:非线性微分方程  斜周期边值问题  唯一性  控制伦  最优估计  积分均值  Schauder不动点定理  存在性  

Skewperiodic Boundary Value Problems for Second Order Nonlinear Differential Equations
ZHAI Yanhui. Skewperiodic Boundary Value Problems for Second Order Nonlinear Differential Equations[J]. Northeastern Mathematical Journal, 2002, 18(1): 73-78
Authors:ZHAI Yanhui
Affiliation:[1]DepartmentofMathematics,ChangchunNormalCollege,Changchun,130032 [2]DepartmentofMathematics,JilinUniversity,Changchun,130012
Abstract:
In this paper a uniqueness theorem for a skewperiodic boundary value problem is obtained.By using the optimal control method,we derive the best estimate for the integration mean ensuring that the results hold.
Keywords:Skewperiodic boundary value problem   optimal control theory   Schauder's fixed point theorem.
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