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Nonexistence and existence of multiple positive solutions for superlinear three-point boundary value problems via index theory

Nonexistence and existence of multiple positive solutions for superlinear three-point boundary... This paper discusses both the nonexistence of positive solutions for second-order three-point boundary value problems when the nonlinear term f(t, x, y) is superlinear in y at y = 0 and the existence of multiple positive solutions for second-order three-point boundary value problems when the nonlinear term f(t, x, y) is superlinear in χ at +∞. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Mathematicae Applicatae Sinica Springer Journals

Nonexistence and existence of multiple positive solutions for superlinear three-point boundary value problems via index theory

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Publisher
Springer Journals
Copyright
Copyright © 2008 by Institute of Applied Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences and Springer-Verlag GmbH
Subject
Mathematics; Applications of Mathematics; Math Applications in Computer Science; Theoretical, Mathematical and Computational Physics
ISSN
0168-9673
eISSN
1618-3932
DOI
10.1007/s10255-007-7024-7
Publisher site
See Article on Publisher Site

Abstract

This paper discusses both the nonexistence of positive solutions for second-order three-point boundary value problems when the nonlinear term f(t, x, y) is superlinear in y at y = 0 and the existence of multiple positive solutions for second-order three-point boundary value problems when the nonlinear term f(t, x, y) is superlinear in χ at +∞.

Journal

Acta Mathematicae Applicatae SinicaSpringer Journals

Published: Oct 12, 2008

References