Solvability of 2n-order m-point boundary value problem at resonance

doi:10.1007/s10483-007-0910-y

Applied Mathematics and Mechanics (English Edition) ›› 2007, Vol. 28 ›› Issue (9): 1219-1226 .doi: https://doi.org/10.1007/s10483-007-0910-y

Solvability of 2n-order m-point boundary value problem at resonance

江卫华, 郭彦平, 仇计清

收稿日期:2006-10-23 修回日期:2007-05-28 出版日期:2007-09-18 发布日期:2007-09-18
通讯作者: 仇计清

Solvability of 2n-order m-point boundary value problem at resonance

JIANG Wei-hua, GUO Yan-ping, QIU Ji-qing

1. College of Mathematics and Science of Information, Hebei Normal University, Shijiazhuang 050016, P. R. China;
2. College of Sciences, Hebei University of Science and Technology, Shijiazhuang 050018, P. R. China

Received:2006-10-23 Revised:2007-05-28 Online:2007-09-18 Published:2007-09-18
Contact: QIU Ji-qing

摘要/Abstract

Abstract: The existence of solutions for the 2n-order m-point boundary value problem at resonance is obtained by using the coincidence degree theory of Mawhin. We give an example to demonstrate our result. The interest is that the nonlinear term may be noncontinuous.

Key words: resonance, Fredholm operator, multi-point boundary value problem, coincidence degree theory

中图分类号:

江卫华;郭彦平;仇计清. Solvability of 2n-order m-point boundary value problem at resonance[J]. Applied Mathematics and Mechanics (English Edition), 2007, 28(9): 1219-1226 .

JIANG Wei-hua;GUO Yan-ping;QIU Ji-qing. Solvability of 2n-order m-point boundary value problem at resonance[J]. Applied Mathematics and Mechanics (English Edition), 2007, 28(9): 1219-1226 .

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Solvability of 2n-order m-point boundary value problem at resonance

Solvability of 2n-order m-point boundary value problem at resonance

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