๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Convergence of solutions for a class of neutral difference equations

โœ Scribed by B.X. Dai; L.H. Huang


Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
396 KB
Volume
35
Category
Article
ISSN
0898-1221

No coin nor oath required. For personal study only.

โœฆ Synopsis


where k is a positive integer, 0 < c < 1, V denotes the backward difference operator Vyn ---yn -Yn-1, f : N x R 2 --* R is continuous and decreasing with respect to the second argument. We give the results that solutions of the equation convergent to constants.


๐Ÿ“œ SIMILAR VOLUMES


Asymptotic trichotomy for positive solut
โœ Wan Tong Li; Sui Sun Cheng ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 382 KB

A class of neutral type nonlinear difference equations is studied. We show that eventually positive solutions either converge to zero, to positive constants, or to positive infinity. Sufficient conditions are then provided for the existence of these solutions. Partial converses are also given.

Oscillation of solutions of neutral diff
โœ Xiaoyan Lin ๐Ÿ“‚ Article ๐Ÿ“… 2006 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 353 KB

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