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|Title:||Nonexistence of unbounded nonoscillatory solutions of partial difference equations|
|Source:||Wong, P.J.Y.,Agarwal, R.P. (1997-10-15). Nonexistence of unbounded nonoscillatory solutions of partial difference equations. Journal of Mathematical Analysis and Applications 214 (2) : 503-523. ScholarBank@NUS Repository.|
|Abstract:||We develop criteria for the nonexistence of eventually positive (negative) and nondecreasing (nonincreasing) solutions of the partial difference equation ∇m∇ny(m, n) + P(m, n, y(m + k, n + l)) = Q(m, n, y(m + k, n + l)) and ∇m∇ny(m, n) + ∑τ i=1 Pi(m, n, y(m + ki, n + li)) = ∑τ i=1 Qi(m, n, y(m + ki, n + li)). Several examples which dwell upon the importance of our results are also included. © 1997 Academic Press.|
|Source Title:||Journal of Mathematical Analysis and Applications|
|Appears in Collections:||Staff Publications|
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