Existence of Positive Solutions to Singular p-Laplacian General Dirichlet Boundary Value Problems with Sign Changing Nonlinearity

By using the well-known Schauder fixed point theorem and upper and lower solution method, we present some existence criteria for positive solution of an m-point singular p-Laplacian dynamic equation on time scales with the sign changing nonlinearity. These results are new even for the corresponding...

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Bibliographic Details
Published inAbstract and Applied Analysis Vol. 2009; no. 1; pp. 595 - 615
Main Authors Wei, Qiying, Su, You-Hui, Li, Subei, Yan, Xing-Xue
Format Journal Article
LanguageEnglish
Published New York Hindawi Limiteds 01.01.2009
Hindawi Publishing Corporation
Hindawi Limited
Subjects
Boundary value problems
Dynamical systems
Mathematical models
Studies
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Summary:By using the well-known Schauder fixed point theorem and upper and lower solution method, we present some existence criteria for positive solution of an m-point singular p-Laplacian dynamic equation on time scales with the sign changing nonlinearity. These results are new even for the corresponding differential (𝕋=ℝ) and difference equations (𝕋=ℤ), as well as in general time scales setting. As an application, an example is given to illustrate the results.
ISSN:1085-3375
1687-0409
DOI:10.1155/2009/512402