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

Qiying Wei, You-Hui Su, Subei Li and Xing-Xue Yan

Abstract and Applied Analysis, 2009, vol. 2009, 1-21

Abstract:

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

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:512402

DOI: 10.1155/2009/512402

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