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

FENG Yan-qing, WANG Zhong-ying

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

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

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Department of Mathematics,Changzhou Institute of Technology

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.

Received date: 2012-06-18

Online published: 2021-01-25

Supported by

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

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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

Cite this article

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

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