The authors improve some well-known fixed point theorems and study the boundary value problems for a p-Laplacian functional dynamic equation on a time scale, By using the fixed point theorems, sufficient conditions are established for the existence of multiple positive solutions.
Multiple positive solutions of nonlinear third-order BVP for a class of -Laplacian dynamic equations on time scales
โ Scribed by Wei Han; Shugui Kang
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 556 KB
- Volume
- 49
- Category
- Article
- ISSN
- 0895-7177
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โฆ Synopsis
In this paper, by using fixed-point theorems in cones, the existence of multiple positive solutions is considered for singular nonlinear boundary value problem for the following third-order p-Laplacian dynamic equations on time scales
In particular, the conditions we used in the paper are different from those in [R.Y. Ma, Existence of solutions of nonlinear m-point boundary value problem,
๐ SIMILAR VOLUMES
Let T be a pseudo-symmetric time scale such that 0, T โ T. We consider a three-point boundary value problem for p-Laplacian dynamic equations on time scales T. Some new sufficient conditions are obtained for the existence of at least single, twin, triple or arbitrary odd positive pseudo-symmetric so
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