Oscillation criteria for second-order nonlinear dynamic equations on time scales

被引：113

作者：

Erbe, L ^{[1
]}

Peterson, A

Saker, SH

机构：

[1] Univ Nebraska, Dept Math & Stat, Lincoln, NE 68588 USA

[2] Adam Mickiewicz Univ Poznan, Fac Math & Comp Sci, PL-60769 Poznan, Poland

[3] Mansoura Univ, Dept Math, Mansoura 35516, Egypt

来源：

JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES | 2003年 / 67卷

基金：

美国国家科学基金会;

关键词：

D O I：

10.1112/S0024610703004228

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

By means of generalized Riccati transformation techniques and generalized exponential functions, some oscillation criteria are given for the nonlinear dynamic equation (P(t)x(Delta)(t))(Delta) + q(t)(f . x(sigma)) = 0 on time scales. The results are also applied to linear and nonlinear dynamic equations with damping, and some sufficient conditions are obtained for the oscillation of all solutions.

引用

页码：701 / 714

页数：14

共 15 条

[1] Dynamic equations on time scales: a survey [J].