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On Monotone Method for Second Order Periodic Boundary Value Problems and Periodic Solutions of Functional Difference Equations
作者姓名:左文杰  林晓宁  蒋达清
作者单位:Department of Mathematics,China University of Petroleum,Dongying,Shandong,257061,Department of Mathematics,Northeast Normal University,Changchun,130024,Department of Mathematics,Northeast Normal University,Changchun,130024
基金项目:The NNSF (10171010) of China.
摘    要:In this paper, we show that the method of monotone iterative technique is valid to obtain two monotone sequences that converge uniformly to extremal solutions to second order periodic boundary value problems and periodic solutions of functional difference equations. We obtain some new results under the lower solution a and upper solution βwith α≤β.

关 键 词:微分方程  边值问题  周期解  存在性  单调迭代

On Monotone Method for Second Order Periodic Boundary Value Problems and Periodic Solutions of Functional Difference Equations
ZUO Wen-jie.On Monotone Method for Second Order Periodic Boundary Value Problems and Periodic Solutions of Functional Difference Equations[J].Northeastern Mathematical Journal,2005,21(3):315-322.
Authors:ZUO Wen-jie
Institution:[1]Department of Mathematics, China University of Petroleum, Dongying, Shandong, 257061 [2]Department of Mathematics, Northeast Normal University, Changchun, 130024
Abstract:
Keywords:periodic boundary value problem  periodic solution  existence  upper and lower solution  monotone iterative technique
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