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|Title:||Oscillation criteria for nonlinear partial difference equations with delays|
Partial difference equations
|Source:||Wong, P.J.Y., Agarwal, R.P. (1996-09). Oscillation criteria for nonlinear partial difference equations with delays. Computers and Mathematics with Applications 32 (6) : 57-86. ScholarBank@NUS Repository. https://doi.org/10.1016/0898-1221(96)00144-7|
|Abstract:||We offer sufficient conditions for the oscillation of all solutions of the partial difference equations y(m + 1, n) + β(m, n)y(m, n + 1) - δ(m, n)y(m, n) + P (m, n, y(m - k,n - ℓ)) = Q (m,n,y(m - k,n - ℓ)), and y(m+ 1,n) + β(m, n)y(m, n + 1) - δ(m, n)y(m, n) + τΣi=1 Pi(m, n, y(m - ki, n - ℓi)) i=1 = τΣi=1 Qi (m, n, y(m - ki, n - ℓi)). i=1 Several examples, which dwell upon the importance of our results, are also included.|
|Source Title:||Computers and Mathematics with Applications|
|Appears in Collections:||Staff Publications|
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