Oscillation of partial difference equations with continuous variables

Authors:
R. P. Agarwal;Zhou Yong
Affiliations:
Department of Mathematics, National University of Singapore 10 Kent Ridge Crescent, Singapore, 119260, Republic of Singapore;Department of Mathematics, Xiangtan University Xiangtan, Hunan 411105, P.R. China
Venue:
Mathematical and Computer Modelling: An International Journal
Year:
2000

Citing 2
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Abstract

In this paper, we consider the partial difference equation with continuous variables of the form P"1z(x + a, y + b) + p"2z (x + a, y) + p"3z (x, y + b) - p"4z (x, y) + P (x, y) z (x - @t, y - @s) = 0, where P@eC(R^+ x R^+, R^+ - {0}), a, b, @t, @s are real numbers and p"i (i = 1, 2, 3, 4) are nonnegative constants. Some sufficient conditions for all solutions of this equation to be oscillatory are obtained.