The Existence and Uniqueness of the Solution for Perio dical Boundary Value Problems of 2k th Order Differential Equations with Resonance  

作　　者：FENG Yan-qing WANG Zhong-ying 

机构地区：[1]Department of Mathematics, Changzhou Institute of Technology, Changzhou 213000, China

出　　处：《Chinese Quarterly Journal of Mathematics》2014年第2期203-209,共7页数学季刊（英文版）

基　　金：Foundation item： Supported by the Natural Science Foundation of Changzhou Instituty of Technology（YN09090）; Supported by the Natural Science Foundation of Jiangsu Province（13KJD110001）

摘　　要：In this paper, a new set of sufficient conditions related to an initial value problem and global homeomorphism is obtained in discussing the existence and uniqueness of 2π-periodic solution for 2kth order differential equations with resonance. The key role is played by nonnegative auxiliary scalar coercive function. The result of this paper generalizes some existed theorems.In this paper, a new set of su？cient conditions related to an initial value problem and global homeomorphism is obtained in discussing the existence and uniqueness of 2π-periodic solution for 2kth order differential equations with resonance. The key role is played by nonnegative auxiliary scalar coercive function. The result of this paper generalizes some existed theorems.

关 键 词：initial value problem global homeomorphism periodic solution nonnegative auxiliary scalar coercive function RESONANCE 

分 类 号：O175.8[理学—数学]