Several oscillation criteria are established for the second-order damped nonlinear difference equation where a > 0 is any quotient of odd integers, {pโข} 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
Linear oscillation of second-order nonlinear difference equations with damped term
โ 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.
โฆ 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.
๐ SIMILAR VOLUMES
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
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
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.
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.