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

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...

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Bibliographic Details
Published inApplied mathematics and mechanics Vol. 27; no. 5; pp. 705 - 711
Main Author 林晓洁 杜增吉 葛渭高
Format Journal Article
LanguageEnglish
Published Department of Mathematics, Xuzhou Normal University, Xuzhou, Jiangsu 221116, P.R. China%Department of Mathematics, Beijing Institute of Technology, Beijing 100081, P.R. China 01.05.2006
Subjects
Boundary conditions
Boundary value problems
Differential equations
Estimates
Mathematical analysis
Nonlinearity
常微分方程
边界值问题
重合度数理论
resonance
coincidence degree theory
boundary value problem
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ISSN0253-4827
1573-2754
DOI10.1007/s10483-006-0517-y

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Summary: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.
Bibliography:boundary value problem; resonance; coincidence degree theory
O175.8
coincidence degree theory
boundary value problem
31-1650/O1
resonance
ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0253-4827
1573-2754
DOI:10.1007/s10483-006-0517-y