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 criteria for second-order nonlinear difference equations with damped term
β 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
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β¦ 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.
π 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
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.
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.