In this paper, existence criteria of positive solutions to a class of nonlinear first-order periodic boundary value problems of impulsive dynamic equations on time scales are obtained. The main tool used in this paper is the well-known Guo-Krasnoselskii fixed-point theorem.
Periodic solutions for dynamic equations on time scales
β Scribed by Xi-Lan Liu; Wan-Tong Li
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 220 KB
- Volume
- 67
- Category
- Article
- ISSN
- 0362-546X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
In this paper, we study the following functional dynamic equation on time scales: where Ξ¦ : R β R is an increasing homeomorphism and a positive homomorphism and Ξ¦(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, we rigorously establish an existence theorem of periodic solutions for the competition of Lotka-Volterra dynamic systems with a time delay and diffusion on time scales. It is shown that the existence of periodic solutions depend on the parameters of the model. It is also shown that a