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First-order functional difference equations with nonlinear boundary value problems

✍ Scribed by Tadeusz Jankowski

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
438 KB
Volume
59
Category
Article
ISSN
0898-1221

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✦ Synopsis

The monotone iterative method is used to show that corresponding difference problems with boundary conditions have extremal solutions in the region bounded by lower and upper solutions. It is important to indicate that the right-hand sides of problems depend on r delayed arguments. Difference inequalities of such types are also discussed. Two examples satisfying the assumptions are presented.

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On Sturm–Liouville boundary value proble
On Sturm–Liouville boundary value problems for second-order nonlinear functional finite difference equations
✍ Yuji Liu πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 170 KB

Motivated by the interesting paper [I. Karaca, Discrete third-order three-point boundary value problem, J. Comput. Appl. Math. 205 (2007) 458-468], this paper is concerned with a class of boundary value problems for second-order functional difference equations. Sufficient conditions for the existenc