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Impulsive boundary value problems with nonlinear boundary conditions
β Scribed by Jianhua Shen; Weibing Wang
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 441 KB
- Volume
- 69
- Category
- Article
- ISSN
- 0362-546X
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β¦ Synopsis
In this paper, the upper and lower solution method and Schauder's fixed point theorem are employed in the study of boundary value problems for a class of second-order impulsive ordinary differential equations with nonlinear boundary conditions. We prove the existence of solutions to the problem under the assumption that there exist lower and upper solutions associated with the problem.
π SIMILAR VOLUMES
## Abstract We investigate some classes of eigenvalue dependent boundary value problems of the form equation image where __A__ β __A__^+^ is a symmetric operator or relation in a Krein space __K__, __Ο__ is a matrix function and Ξ~0~, Ξ~1~ are abstract boundary mappings. It is assumed that __A__
We consider solutions of boundary value problems for the ordinary differential equation. \(y^{\prime n}=f\left(x, y, y^{\prime}, \ldots, y^{\prime n}{ }^{\prime \prime}\right)\), which satisfy \(g_{i}\left(y(x), \ldots, y^{\prime n}{ }^{11}\left(x_{i}\right)\right)=y_{i}\), \(1 \leqslant i \leqslant