On oscillation of solutions of second-order nonlinear difference equations

被引：2

作者：

Koplatadze R. ^{[1
]}

Pinelas S. ^{[2
]}

机构：

[1] Tbilisi State University, Tbilisi

[2] Departamento de Cîencias Exactas e Naturais, Academia Militar, Amadora

来源：

Journal of Mathematical Sciences | 2013年 / 189卷 / 5期

基金：

美国国家科学基金会;

关键词：

Difference Equation; Functional Differential Equation; Proper Solution; Nonoscillatory Solution; Oscillation Criterion;

D O I：

10.1007/s10958-013-1218-8

中图分类号：

学科分类号：

摘要：

We consider the difference equation Δ2u(k)+ p(k){pipe}u(σ(k)){pipe}γ sign u(σ(k))= 0, where 0≤ γ ≤ 1, p: N → R+, σ:N → N, σ(k) ≥ k + 1 for k ε N and the difference operator is defined as follows: Δu(k)=u(k + 1) - u(k), Δ2 = Δ o{script} Δ. Necessary conditions are obtained for the above equation to have a positive solution. In addition, oscillation criteria of new type are obtained © 2013 Springer Science+Business Media New York.

引用

页码：784 / 794

页数：10

共 9 条

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