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

doi:10.1007/s10483-006-0517-y

Applied Mathematics and Mechanics (English Edition) ›› 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

林晓洁, 杜增吉, 葛渭高

收稿日期:2004-02-01 修回日期:2006-01-17 出版日期:2006-05-18 发布日期:2006-05-18
通讯作者: 林晓洁

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

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

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:2004-02-01 Revised:2006-01-17 Online:2006-05-18 Published:2006-05-18
Contact: LIN Xiao-jie

摘要/Abstract

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

中图分类号:

O175.8
34B15

林晓洁;杜增吉;葛渭高. EXISTENCE OF SOLUTIONS FOR HIGHER ORDER MULTI-POINT BOUNDARY VALUE PROBLEM AT RESONANCE[J]. Applied Mathematics and Mechanics (English Edition), 2006, 27(5): 705-711 .

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 (English Edition), 2006, 27(5): 705-711 .

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

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

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