Existence of Monotone Positive Solution of Neutral Partial Difference Equation
β Scribed by Shu Tang Liu; Yongqing Liu; Xin-Ping Guan; Jun Yang; Sui Sun Cheng
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 94 KB
- Volume
- 247
- Category
- Article
- ISSN
- 0022-247X
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β¦ Synopsis
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 obtained on the existence of a monotone eventually positive solution of dual equation.
π SIMILAR VOLUMES
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