In this paper, we consider the following boundary value problem with a p-Laplacian By using a generalization of the Leggett-Williams fixed-point theorem due to Avery and Peterson, we provide sufficient conditions for the existence of at least three positive solutions to the above problem. The empha
Multiple positive solutions of multi-point boundary value problem for second-order impulsive differential equations
โ Scribed by Feng Meiqiang; Xie Dongxiu
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 562 KB
- Volume
- 223
- Category
- Article
- ISSN
- 0377-0427
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โฆ Synopsis
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.
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