Oscillations of second-order nonlinear partial difference equations
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) | 699-711 |
| Journal / Publication | Rocky Mountain Journal of Mathematics |
| Volume | 34 |
| Issue number | 2 |
| Publication status | Published - Jun 2004 |
Link(s)
Abstract
Oscillations of the second-order nonlinear partial difference equation T(Delta;1, Δ2)[cmnT(Δ1, Delta2)(ymn)] + Pmn(ym+1, n + y m, n+1)v = 0 is investigated. Some sufficient conditions for oscillations of solutions of the above equation with v > 1 and v <1 are obtained, where v is a fraction of odd positive integers, m,n ε N i = {i, i + 1, . . . ,}, i is a nonnegative integer, T(Δ1, Δ2) = Δ1+Δ2+I, Δ 1ymn =ym+1, n - ymn, Δ2ymn = ym,n+1- ymn, I mnymn =ymn.
Research Area(s)
- Nonlinear partial difference equation, Oscillation
Citation Format(s)
Oscillations of second-order nonlinear partial difference equations. / Liu, Shu Tang; Chen, Guanrong.
In: Rocky Mountain Journal of Mathematics, Vol. 34, No. 2, 06.2004, p. 699-711.Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
