Oscillation of partial difference equations with continuous variables

被引：32

作者：

Agarwal, RP

Zhou, Y

机构：

[1] Natl Univ Singapore, Dept Math, Singapore 119260, Singapore

[2] Xiangtan Univ, Dept Math, Xiangtan 411105, Hunan, Peoples R China

来源：

MATHEMATICAL AND COMPUTER MODELLING | 2000年 / 31卷 / 2-3期

关键词：

oscillation; partial difference equations; continuous variables;

D O I：

10.1016/S0895-7177(99)00220-4

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

In this paper, we consider the partial difference equation with continuous variables of the form p(1)z (x + a, y + b) + p(2)z (x + a, y) + p(3)z (x, y + b) - p(4)z (x, y) + P (x, y) z (x - tau, y - sigma) = 0, where P is an element of C(R+ x R+, R+ - {0}), a, b, tau, sigma 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. (C) 2000 Elsevier Science Ltd. All rights reserved.

引用

页码：17 / 29

页数：13

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Agarwal R.P., 1997, Advanced Topics in Difference Equations, DOI 10.1007/978-94-015-8899-7

[2]

Agarwal RP, 1992, Difference equations and inequalities

[3]

CHOI SK, 1998, DISCRETE DYN NAT SOC, V2, P257

[4]

LI XP, 1982, ACTA CHIM SINICA, V40, P688