In this paper, we study the second-order three-point boundary value problem in a Banach space E, where ΞΈ is the zero element of E, 0 < Ξ± < 1, 0 < Ξ· < 1. By using the Sadovskii fixed point theorem, we get the existence of at least one (positive) solution. As an application, we give an example to dem
β¦ LIBER β¦
Existence of multiple positive solutions for -point boundary value problems in Banach spaces
β Scribed by Yu-Lin Zhao; Hai-Bo Chen
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 184 KB
- Volume
- 215
- Category
- Article
- ISSN
- 0377-0427
No coin nor oath required. For personal study only.
β¦ Synopsis
This paper deals with the positive solutions of m-point nonlinear boundary value problem in Banach spaces. By using the fixedpoint theorem of strict-set-contractions, some sufficient conditions for the existence of at least one or two positive solutions to m-point boundary value problem in Banach spaces are obtained. An example illustrating the main results is given.
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