Multiple positive solutions for -Laplacian functional dynamic equations on time scales
โ Scribed by Changxiu Song; Peixuan Weng
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 217 KB
- Volume
- 68
- Category
- Article
- ISSN
- 0362-546X
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โฆ Synopsis
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.
๐ SIMILAR VOLUMES
In this paper, we study the following functional dynamic equation on time scales: where ฮฆ : R โ R is an increasing homeomorphism and a positive homomorphism and ฮฆ(0) = 0. By using the well-known Leggett-Williams fixed point theorem, existence criteria for multiple positive solutions are established
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