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Positive solutions of singular p-Laplacian dynamic equations with sign changing nonlinearity
- Source :
-
Applied Mathematics & Computation . Jun2008, Vol. 200 Issue 1, p352-368. 17p. - Publication Year :
- 2008
-
Abstract
- Abstract: Let be a time scale such that . By the Schauder fixed-point theorem and the upper and lower solution method, we present some existence criteria of the positive solution of m-point singular p-Laplacian dynamic equation with boundary conditions , where with , is continuous for and nonincreasing if . The nonlinear term may be singular in its dependent variable and is allowed to change sign. Our results are new even for the corresponding differential and difference equations . As an application, an example is given to illustrate our result. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 00963003
- Volume :
- 200
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Applied Mathematics & Computation
- Publication Type :
- Academic Journal
- Accession number :
- 32049925
- Full Text :
- https://doi.org/10.1016/j.amc.2007.11.015