Oscillation of second order nonlinear dynamic equations on time scales

被引：131

作者：

Bohner, M ^{[1
]}

Saker, SH

机构：

[1] Univ Missouri, Dept Math & Stat, Rolla, MO 65401 USA

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

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

来源：

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2004年 / 34卷 / 04期

关键词：

oscillation; second order nonlinear dynamic equation; time scale; Riccati transformation technique; positive solution; measure chain;

D O I：

10.1216/rmjm/1181069797

中图分类号：

O1 [数学];

学科分类号：

0701 [数学]; 070101 [基础数学];

摘要：

By means of Riccati transformation techniques, we establish some oscillation criteria for a second order nonlinear dynamic equation on time scales in terms of the coefficients. We give examples of dynamic equations to which previously known oscillation criteria are not applicable.

引用

收藏

页码：1239 / 1254

页数：16

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