𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Oscillation criteria for second-order nonlinear difference equations with damped term

✍ Scribed by Wan-Tong Li; Xian-Ling Fan


Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
593 KB
Volume
37
Category
Article
ISSN
0898-1221

No coin nor oath required. For personal study only.

✦ Synopsis


Several oscillation criteria are established for the second-order damped nonlinear difference equation

where a > 0 is any quotient of odd integers, {pβ€’} and {qn} are real sequences, and f E C(R, R) such that xf(x) > 0 for x # 0. Several examples which dwell upon the importance of our results are also included.


πŸ“œ SIMILAR VOLUMES


Linear oscillation of second-order nonli
✍ Zhenguo Zhang; Bi Ping πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 404 KB

ln this paper, we shall establish relations between the oscillation of second-order nonlinear difference equations with damped term and the oscillation of their linear limiting equations.

Oscillation theorems for second-order no
✍ Wan-Tong Li; Peihao Zhao πŸ“‚ Article πŸ“… 2004 πŸ› Elsevier Science 🌐 English βš– 759 KB

Several oscillation criteria are given for the second-order damped nonlinear differential where a > 0 is any quotient of odd integers, a 6 C(R, (0,~)), p(t) and q(t) are allowed to change sign on [t0,c~), and f E CI(R,R) such that xf(x) > 0 for x :~ 0. Our results improve and extend some known osci

Oscillation criteria for second-order no
✍ Aimin Zhao; Yanmei Wang; Jurang Yan πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 329 KB

This paper is concerned with the oscillation of a class of general type second-order differential equations with nonlinear damping. Several new oscillation criteria are established under quite general assumptions, which improve and extend the known results in the literature.

Oscillation criteria for a second order
✍ E. Thandapani; B.S. Lalli πŸ“‚ Article πŸ“… 1995 πŸ› Elsevier Science 🌐 English βš– 258 KB

Sufficient conditions for the oscillation of all solutions of a damped difference equation of the form A2yn+pnAyn+qnf(yn+l)=O, n = 0,1,2,..., are obtained. No sign conditions on the sequences {pn} and {qn} are assumed. Examples are inserted in the text to illustrate our results.