Nonoscillation criteria for half-linear second-order difference equations

被引：35

作者：

Dosly, O

Rehák, P

机构：

[1] Acad Sci Czech Republ, Math Inst, CZ-61662 Brno, Czech Republic

[2] Masaryk Univ, Dept Math, CZ-66295 Brno, Czech Republic

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2001年 / 42卷 / 3-5期

关键词：

half-linear difference equation; nonoscillation criteria; Riccati technique; variational method;

D O I：

10.1016/S0898-1221(01)00169-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Nonoscillation criteria for the half-linear second-order difference equation Delta (r(k)Phi(Deltax(k))) + c(k)Phi (x(k+1)) = 0, Phi (x) := \x\(p-2)x, p >1 are established, These criteria are derived using the Riccati and variational technique. (C) 2001 Elsevier Science Ltd. All rights reserved.

引用

页码：453 / 464

页数：12

共 9 条

[1]

Agarwal RP, 1992, Difference equations and inequalities

[2] Methods of oscillation theory of half-linear second order differential equations [J].