Oscillation of solutions of a linear second order discrete delayed equation

被引：0

作者：

Bastinec, Jaromir ^{[1
]}

Diblik, Josef ^{[1
]}

Moravkova, Blanka ^{[1
]}

机构：

[1] Brno Univ Technol, Dept Math, Fac Elect Engn & Commun, Brno, Czech Republic

来源：

6TH CONFERENCE ON MATHEMATICS AND PHYSICS AT TECHNICAL UNIVERSITIES, PTS 1 AND 2, PROCEEDINGS | 2009年

关键词：

Linear discrete equations with delay; positive solutions; oscillating solutions;

D O I：

暂无

中图分类号：

G40 [教育学];

学科分类号：

040101 ; 120403 ;

摘要：

A linear second order discrete delayed equation Delta x(n) = -p(n). x(n-1) with a positive coefficient p is considered for n ->infinity. This equation is known to have a positive solution if p fulfils an inequality. The goal of the paper is to show that in the case of an opposite inequality for p all solutions of the equation considered are oscillating for n ->infinity.

引用

页码：39 / 50

页数：12

共 12 条

[1]

[Anonymous], 2004, MEDITERR J MATH

[2]

BASTINEC J, J DIFFERENC IN PRESS

[3] Remark on positive solutions of discrete equation Δu(k plus n) = - p(k)u(k) [J].