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

Wei Qi-Ying | Zendy; You-Hui Su | Zendy; Subei Li | Zendy; Xing-Xue Yan | Zendy

Open Access

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

Author(s) -

Wei Qi-Ying,

You-Hui Su,

Subei Li,

Xing-Xue Yan

Publication year - 2009

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2009/512402

Subject(s) - mathematics , sign (mathematics) , nonlinear system , mathematical analysis , singular solution , fixed point theorem , boundary value problem , p laplacian , dirichlet boundary condition , dirichlet problem , dirichlet distribution , laplace operator , schauder fixed point theorem , picard–lindelöf theorem , physics , quantum mechanics

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 -point singular -Laplacian dynamic equation on time scales with the sign changing nonlinearity. These results are new even for the corresponding differential (=ℝ) and difference equations (=ℤ), as well as in general time scales setting. As an application, an example is given to illustrate the results

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