On the uniqueness of the positive solution for a second-order integral boundary value problem with switched nonlinearity
β Scribed by Haitao Li; Yansheng Liu
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 212 KB
- Volume
- 24
- Category
- Article
- ISSN
- 0893-9659
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β¦ Synopsis
Applying a fixed point theorem for a concave operator on a cone, this work presents a sufficient condition for the existence and uniqueness of a positive solution for a secondorder integral boundary value problem with switched nonlinearity. An example is worked out to illustrate the main results.
π SIMILAR VOLUMES
The explicit solutions to the boundary value problem where Ξ» and Β΅ are continuous functions, are discussed.
In this paper, a class of two-point boundary value problems for nonlinear second-order integral-differential equations of mixed type is investigated in a real Banach space without making any compactness type assumption; we establish conditions for the existence of a unique solution of the equation a
In this note, we consider a boundary value problem for a second-order nonlinear equation: where Β΅(x) > 0 and Ξ»(x) are two functions satisfying certain conditions. The explicit solutions to this problem are obtained.