EXISTENCE OF SOLUTIONS FOR HIGHER ORDER MULTI-POINT BOUNDARY VALUE PROBLEM AT RESONANCE

LIN Xiao-jie;DU Zeng-ji;GE Wei-gao

doi:10.1007/s10483-006-0517-y

Applied Mathematics and Mechanics >

2006 , Vol. 27 >Issue 5: 705 - 711

DOI: https://doi.org/10.1007/s10483-006-0517-y

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EXISTENCE OF SOLUTIONS FOR HIGHER ORDER MULTI-POINT BOUNDARY VALUE PROBLEM AT RESONANCE

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1. Department of Mathematics, Xuzhou Normal University, Xuzhou, Jiangsu 221116, P.R. China;
2. Department of Mathematics, Beijing Institute of Technology, Beijing 100081, P.R. China

Received date: 2004-02-01

Revised date: 2006-01-17

Online published: 2006-05-18

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Abstract

Using the theory of coincidence degree, a class of higher order multi-point boundary value problem for ordinary differential equations are studied. Under the boundary conditions satisfying the resonance case, some new existence results are obtained by supposing some conditions to the nonlinear term and applying a priori estimates.

Key words： boundary value problem; resonance; coincidence degree theory

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LIN Xiao-jie;DU Zeng-ji;GE Wei-gao . EXISTENCE OF SOLUTIONS FOR HIGHER ORDER MULTI-POINT BOUNDARY VALUE PROBLEM AT RESONANCE[J]. Applied Mathematics and Mechanics, 2006 , 27(5) : 705 -711 . DOI: 10.1007/s10483-006-0517-y

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