The Existence and Uniqueness of the Solution for Periodical Boundary Value Problems of 2kth Order Differential Equations with Resonance

doi:10.13371/j.cnki.chin.q.j.m.2014.02.007

Chinese Quarterly Journal of Mathematics ›› 2014, Vol. 29 ›› Issue (2): 203-209.doi: 10.13371/j.cnki.chin.q.j.m.2014.02.007

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The Existence and Uniqueness of the Solution for Periodical Boundary Value Problems of 2kth Order Differential Equations with Resonance

Department of Mathematics,Changzhou Institute of Technology

Received:2012-06-18 Online:2014-06-30 Published:2021-01-25
About author:FENG Yan-qing(1969-), female, native of Yiwu, Zhejiang, an associate professor of Changzhou Institute of Technology, M.S.D., engages in nonlinear function analysis and application; WANG Zhong-ying(1968-), female, native of Changzhou, Jiangsu, an associate professor of Changzhou Institute of Technology, M.S.D., engages in nonlinear function analysis.
Supported by:
Supported by the Natural Science Foundation of Changzhou Instituty of Technology（YN09090）； Supported by the Natural Science Foundation of Jiangsu Province（13KJD110001）；

Abstract

Abstract: 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.

Key words: initial value problem, global homeomorphism, periodic solution, nonnegative auxiliary scalar coercive function, resonance

CLC Number:

O175.8

FENG Yan-qing, WANG Zhong-ying. The Existence and Uniqueness of the Solution for Periodical Boundary Value Problems of 2kth Order Differential Equations with Resonance[J]. Chinese Quarterly Journal of Mathematics, 2014, 29(2): 203-209.

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The Existence and Uniqueness of the Solution for Periodical Boundary Value Problems of 2kth Order Differential Equations with Resonance

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