Solvability of <em>2n</em>-order <em>m</em>-point boundary value problem at resonance

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

doi:10.1007/s10483-007-0910-y

Applied Mathematics and Mechanics >

2007 , Vol. 28 >Issue 9: 1219 - 1226

DOI: https://doi.org/10.1007/s10483-007-0910-y

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

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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 date: 2006-10-23

Revised date: 2007-05-28

Online published: 2007-09-18

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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

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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, 2007 , 28(9) : 1219 -1226 . DOI: 10.1007/s10483-007-0910-y

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