This paper is devoted to study the existence of multiple positive solutions for the second-order multi-point boundary value problem with impulse effects. The arguments are based upon fixed-point theorems in a cone. An example is worked out to demonstrate the main results.
Multiplicity of positive solutions toM-point boundary value problem of second order impulsive differential equations
โ Scribed by Yuan-sheng Tian; Chun-gen Liu
- Publisher
- Institute of Applied Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
- Year
- 2009
- Tongue
- English
- Weight
- 262 KB
- Volume
- 26
- Category
- Article
- ISSN
- 0168-9673
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
This paper is concerned with the existence of positive solutions to the nonhomogeneous three-point boundary value problem of the second-order ordinary differential equation satisfying that there exists x 0 โ [0, 1] such that h(x 0 ) > 0, and f โ C([0, โ), [0, โ)). By applying Krasnosel'skii's fixed
In this paper, we study the existence of positive solutions of a singular three-point boundary value problem for the following second-order differential equation By constructing an available integral operator and combining fixed point index theory with properties of Green's function under some cond