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Impulsive boundary value problems with nonlinear boundary conditions

✍ 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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✦ 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.


πŸ“œ SIMILAR VOLUMES


Corrigendum to: β€œImpulsive boundary valu
✍ Jianhua Shen; Weibing Wang πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 131 KB

The corresponding author of the above mentioned article regrets that the article was published with the old contact details. The new contact details of the corresponding author are given above.

Boundary value problems with eigenvalue
✍ Jussi Behrndt πŸ“‚ Article πŸ“… 2009 πŸ› John Wiley and Sons 🌐 English βš– 358 KB

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✍ J.A. Ehme πŸ“‚ Article πŸ“… 1993 πŸ› Elsevier Science 🌐 English βš– 276 KB

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