In this paper, discrete inequalities are used to offer sufficient conditions for oscillation of all solutions of second-order nonlinear difference equations with alternating coefficients. @ 2000 Elsevier Science Ltd. All rights reserved.
Oscillation theorems for general quasilinear second-order difference equations
β Scribed by E. Thandapani; K. Ravi; J.R. Graef
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 320 KB
- Volume
- 42
- Category
- Article
- ISSN
- 0898-1221
No coin nor oath required. For personal study only.
β¦ Synopsis
A (an(Ayn)% + Β’ (n, yn,Ayn)
where an > O, qn > O, f, and Β’ are continuous real valued functions, and uf(u) > 0 for u Β’ 0. They give oscillation results for equation (E). Examples are included to illustrate the results. @ 2001 Elsevier Science Ltd. All rights reserved.
π SIMILAR VOLUMES
In this paper discrete inequalities are used to offer sufficient conditions for the oscillation of all solutions of the difference equation Ε½ . n n n q 1 n q 1 n where 0 -s prq with p, q odd integers, or p even and q odd integers. Several examples which dwell upon the importance of our results are
The authors consider second-order difference equations of the type A ((~~~)") + w&,, = 0, (E) where cz 10 is the ratio of odd positive integers, {qn} is a positive sequence, and {u(n)} is a positive increasing sequence of integers with o(n) -+ co as n + cc. They give some oscillation and comparison