In this paper, we consider the following nonlinear first-order periodic boundary value problems on time scales Some new existence and multiplicity criteria of positive solutions are established by using several well-known fixed point theorems.
Positive solutions to nonlinear first-order PBVPs with parameter on time scales
โ Scribed by Jian-Ping Sun; Wan-Tong Li
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 617 KB
- Volume
- 70
- Category
- Article
- ISSN
- 0362-546X
No coin nor oath required. For personal study only.
โฆ Synopsis
In this paper we consider the following nonlinear first-order periodic boundary value problem with parameter on a time scale T
where ฮป > 0 is a parameter. For suitable ฮป > 0, some existence, multiplicity and nonexistence criteria of positive solutions are established by using well-known results from the fixed-point index.
๐ SIMILAR VOLUMES
In this paper we are concerned with the following nonlinear first-order periodic boundary value problem on time scales Some new existence criteria of at least one solution are established by using novel inequalities and the well-known Schaefer fixed point theorem.
In this paper, we consider some kind of nonlinear periodic differential equation with impulses on time scales, and give some new criteria for the existence of at least one solution by using differential inequalities and fixed point theorems.
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.