๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Linear oscillation of second-order nonlinear difference equations with damped term

โœ Scribed by Zhenguo Zhang; Bi Ping


Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
404 KB
Volume
41
Category
Article
ISSN
0898-1221

No coin nor oath required. For personal study only.

โœฆ Synopsis


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.


๐Ÿ“œ SIMILAR VOLUMES


Oscillation criteria for second-order no
โœ Wan-Tong Li; Xian-Ling Fan ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 593 KB

Several oscillation criteria are established for the second-order damped nonlinear difference equation where a > 0 is any quotient of odd integers, {pโ€ข} 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 al

Oscillation theorems for second-order no
โœ Wan-Tong Li; Peihao Zhao ๐Ÿ“‚ Article ๐Ÿ“… 2004 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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 of solutions for second-orde
โœ Zhenguo Zhang; Jianfeng Chen; Caishun Zhang ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 290 KB

Some Riccati type difference inequalities are given for the second-order nonlinear difference equations with nonlinear neutral term A(anA(Xn -4-~(vt, xr,.))) + qnf(xg,.) = 0 and using these inequalities, we obtain some oscillation criteria for the above equation. (~) 2001 Elsevier Science Ltd. All r

Oscillation of second-order linear diffe
โœ Xiaoping Li; Jianchu Jiang ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 272 KB

In this paper, we obtain new sufficient conditions for the oscillation of all solutions of the second-order linear difference equation where Axn = xt,+1 --xn is the forward difference operator, {Ph} is a sequence of nonnegative real numbers. Our results improve the know results in the literature.

Oscillation of Certain Second Order Nonl
โœ B.G. Zhang; G.D. Chen ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 154 KB

In this paper we consider the second order nonlinear difference equation ร„ 4 nondecreasing, and uf u ) 0 as u / 0, q is a real sequence. Some new n ลฝ . sufficient conditions for the oscillation of all solutions of 1 are obtained.