Oscillations of nonlinear partial difference systems
Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
Author(s)
Related Research Unit(s)
Detail(s)
Original language | English |
---|---|
Pages (from-to) | 689-700 |
Journal / Publication | Journal of Mathematical Analysis and Applications |
Volume | 277 |
Issue number | 2 |
Publication status | Published - 15 Jan 2003 |
Link(s)
Abstract
This paper studies the following two-dimensional nonlinear partial difference systems {T(∇1, ∇2) (xmn) + bmn g(ymn) = 0, {T(Δ1, Δ2)(ymn) + amn f(xmn) = 0, where m, n ε N0 = {0, 1, 2,...}, T(Δ1, Δ2) = Δ1 + Δ2 + I, T(∇1, ∇2) = ∇1 + ∇2 + I, Δ1 ymn = ym+1,n - ymn, Δ2ymn = ym,n+1 - ymn, Iymn = ymn, ∇1ymn = ym-1,n - ymn, ∇2ymn = ym,n-1 - ymn, {amn} and {bmn} are real sequences, m, n ε N0, and f, g: R → R are continuous with uf (u) > 0 and ug(u) > 0 for all u ≠ 0. A solution ({xmn}, {ymn}) of the system is oscillatory if both components are oscillatory. Some sufficient conditions for all solutions of this system to be oscillatory are derived. © 2002 Elsevier Science (USA). All rights reserved.
Research Area(s)
- Nonlinear partial difference systems, Oscillation
Citation Format(s)
Oscillations of nonlinear partial difference systems. / Liu, Shu Tang; Chen, Guanrong.
In: Journal of Mathematical Analysis and Applications, Vol. 277, No. 2, 15.01.2003, p. 689-700.Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review