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 inequa
✦ LIBER ✦
On Sturm–Liouville boundary value problems for second-order nonlinear functional finite difference equations
✍ Scribed by Yuji Liu
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 170 KB
- Volume
- 216
- Category
- Article
- ISSN
- 0377-0427
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✦ Synopsis
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 existence of at least one solution of a Sturm-Liouville boundary value problem for secondorder nonlinear functional difference equations are established. We allow f to be at most linear, superlinear or sublinear in obtained results.
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