Existence of Positive Solutions for Third-Order m-Point Boundary Value Problems with Sign-Changing Nonlinearity on Time Scales

A four-functional fixed point theorem and a generalization of Leggett-Williams fixed point theorem are used, respectively, to investigate the existence of at least one positive solution and at least three positive solutions for third-order m-point boundary value problem on time scales with an increa...

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Bibliographic Details
Published in:Abstract and applied analysis 2012, Vol.2012 (2012), p.1-15
Main Authors: Tokmak, Fatma, Karaca, Ilkay Yaslan
Format: Article
Language:English
Online Access:Get full text
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Summary:A four-functional fixed point theorem and a generalization of Leggett-Williams fixed point theorem are used, respectively, to investigate the existence of at least one positive solution and at least three positive solutions for third-order m-point boundary value problem on time scales with an increasing homeomorphism and homomorphism, which generalizes the usual p-Laplacian operator. In particular, the nonlinear term f(t,u) is allowed to change sign. As an application, we also give some examples to demonstrate our results.
ISSN:1085-3375
1687-0409