In this paper we obtain a global attractivity result for the positive equilibrium of a nonlinear second-order difference equation of the form X n + l = f ( x , , x , -l ) ,
Global solvability for a second order nonlinear neutral delay difference equation
โ Scribed by Zeqing Liu; Yuguang Xu; Shin Min Kang
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 573 KB
- Volume
- 57
- Category
- Article
- ISSN
- 0898-1221
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โฆ Synopsis
This paper studies the global existence of solutions of the second order nonlinear neutral delay difference equation
with respect to all b โ R. A few results on global existence of uncountably many bounded nonoscillatory solutions are established for the above difference equation. Several nontrivial examples which dwell upon the importance of the results obtained in this paper are also included.
๐ SIMILAR VOLUMES
In this paper, several new oscillation criteria for the second-order nonlinear neutral delay differential equation are established. These oscillation criteria extend and improve some known results. An interesting example illustrating the importance of our results is also provided.
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
we shall investigate the oscillatory behavior of solutions of second order nonlinear neutral delay difference equations. Several examples which dwell upon the importance of our results are also illustrated.