Oscillation for nonlinear second order dynamic equations on a time scale

被引：90

作者：

Bohner, M

Erbe, L

Peterson, A ^{[1
]}

机构：

[1] Univ Nebraska, Dept Math, Lincoln, NE 68583 USA

[2] Lincoln Univ, Dept Math, Rolla, MO USA

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2005年 / 301卷 / 02期

基金：

美国国家科学基金会;

关键词：

dynamic equation; oscillation; time scales;

D O I：

10.1016/j.jmaa.2004.07.038

中图分类号：

O29 [应用数学];

学科分类号：

070104 [应用数学];

摘要：

We obtain some oscillation criteria for solutions to the nonlinear dynamic equation x(triangletriangle) + q (t)x(trianglesigma) + p(t) (f circle x(sigma)) = 0, on time scales. In particular, no explicit sign assumptions are made with respect to the coefficients p(t) q(t). We illustrate the results by several examples, including a superlinear Emden-Fowler dynamic equation. (C) 2004 Elsevier Inc. All rights reserved.

引用

页码：491 / 507

页数：17

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