This paper deals with the solvability of the third order nonlinear neutral delay difference equation Using the Krasnoselskii's fixed point theorem and Schauder's fixed point theorem, a few sufficient conditions of the existence of uncountably many bounded positive solutions for the equation are pre
Positive solutions of a nonlinear neutral difference equation
โ Scribed by Guang Zhang; Sui Sun Cheng
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 475 KB
- Volume
- 28
- Category
- Article
- ISSN
- 0362-546X
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The oscillatory behavior of solutions of the neutral difference equations with nonlinear neutral term, is studied in the case when c~ :fi 1. A necessary and sufficient oscillatory conditions for the case 0 < a < 1 and an almost "sharp" oscillatory and nonoseillatory criteria for the case a > i are
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.
This paper is concerned with a class of neutral partial difference equations. The conditions for the existence of monotone eventually positive solutions are established which improve and extend some of the criteria existing in the literature. Comparison theorems are also derived. Results are obtaine