Existence of positive solutions for a class of second-order two-point boundary value problem
โ Scribed by Guowei Zhang; Jingxian Sun; Tie Zhang
- Publisher
- Springer
- Year
- 2008
- Tongue
- English
- Weight
- 165 KB
- Volume
- 12
- Category
- Article
- ISSN
- 1385-1292
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
We use a fixed-point theorem in cones to investigate the existence of positive solutions for boundary value problem of a second-order Functional Differential Equation (FDE) with the form: where yt(O) = y(t + O) for # E [-%a]. We allow that r(t) has the singularity at the endpoints t = 0 and t = 1 o
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
The existence, nonexistence, and multiplicity of nonnegative solutions are established for the three-point boundary value problem where ฮฒ โ (0, 1), ฮฑ โ (0, 1/ฮฒ), and ฮป is a nonnegative parameter, under appropriate hypotheses. The key idea is that the problem of finding a nonnegative solution is tra