Positive nonlinear difference equations: some results and applications
โ Scribed by Tim Nesemann
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 338 KB
- Volume
- 47
- Category
- Article
- ISSN
- 0362-546X
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๐ SIMILAR VOLUMES
This paper is concerned with the nonlinear delay difference equations with positive and negative coefficients Sufficient conditions are obtained under which every solution of Eq. ( \* ) is bounded and tends to a constant as n โ โ.
In this paper, we apply a cone theoretic fixed-point theorem and obtain sufficient conditions for the existence of positive solutions to some boundary value problems for a class of functional difference equations. We consider analogues of sublinear or superlinear growth in the nonlinear terms.
Necessary and sufficient conditions are obtained for existence of positive solutions of a nonlinear difference equation. Relations between this equation and an advanced type nonlinear difference equation are also discussed.