On existence of positive solutions and bounded oscillations for neutral difference equations
β Scribed by B.S Lalli; B.G Zhang
- Publisher
- Elsevier Science
- Year
- 1992
- Tongue
- English
- Weight
- 518 KB
- Volume
- 166
- Category
- Article
- ISSN
- 0022-247X
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π SIMILAR VOLUMES
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
We establish several new sufficient conditions for the oscillation of all solutions Ε½ . and the existence of a positive solution when P t y 1 is allowed to oscillate and Ο± Ε½ . the usual divergent condition H Q s ds s Ο± is not satisfied. These conditions are almost sharp and improve some known result
Consider the higher order neutral differential equation x t y x t y q Ε½ . Ε½ . Ε½ . Q t x t y s 0, t G t with Q t continuous, ) 0, G 0, and n odd. We 0 establish several new sufficient conditions for the oscillation of all solutions and the existence of a positive solution by an associated ordinary di