Positive solutions for a nonlinear functional dynamic equation on a time scale
โ Scribed by Eric R. Kaufmann; Youssef N. Raffoul
- Publisher
- Elsevier Science
- Year
- 2005
- Tongue
- English
- Weight
- 186 KB
- Volume
- 62
- Category
- Article
- ISSN
- 0362-546X
No coin nor oath required. For personal study only.
โฆ Synopsis
In this paper we obtain sufficient conditions for the existence of positive solutions to a nonlocal eigenvalue problem for a class of nonlinear functional dynamic equations on a time scale. We employ a cone theoretic fixed-point theorem to establish our results.
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
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.
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
In this paper we consider the following n-dimensional second-order nonlinear system on time scales f i (u)/ u . Define i 0 = number of zeros in the set {f 0 , f โ } and i โ = number of infinities in the set {f 0 , f โ }. By using fixed point index theory, we show that: (i) if i 0 = 1 or 2, then th