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POSITIVE SOLUTIONS OF HIGHER-ORDER BOUNDARY-VALUE PROBLEMS

Published online by Cambridge University Press:  23 May 2005

Lingju Kong  and
Qingkai Kong
Lingju Kong
Affiliation:
Department of Mathematical Sciences, Northern Illinois University, DeKalb, IL 60115-2888, USA (lkong@math.niu.edu; kong@math.niu.edu)
Qingkai Kong
Affiliation:
Department of Mathematical Sciences, Northern Illinois University, DeKalb, IL 60115-2888, USA (lkong@math.niu.edu; kong@math.niu.edu)
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Abstract

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We consider a class of even-order boundary-value problems with nonlinear boundary conditions and an eigenvalue parameter $\lambda$ in the equations. Sufficient conditions are obtained for the existence and non-existence of positive solutions of the problems for different values of $\lambda$.

Keywords

Primary 34B15Secondary 34B1034B1634B18existencenon-existencepositive solutionslower and upper solutionsSchauder fixed-point theorem
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 48 , Issue 2 , June 2005 , pp. 445 - 464
Copyright
Copyright © Edinburgh Mathematical Society 2005