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

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Tarih

2012

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Hindawi Publishing Corporation

Erişim Hakkı

info:eu-repo/semantics/openAccess

Özet

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.

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Abstract and Applied Analysis

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Q1

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