Oscillation Theorems for Second-Order Damped Dynamic Equation on Time Scales

被引：0

作者：

Senel, M. Tamer ^{[1
]}

机构：

[1] Erciyes Univ, Fac Sci, Dept Math, TR-38039 Kayseri, Turkey

来源：

FIRST INTERNATIONAL CONFERENCE ON ANALYSIS AND APPLIED MATHEMATICS (ICAAM 2012) | 2012年 / 1470卷

关键词：

Oscillation; Dynamic equations; Time scales;

D O I：

10.1063/1.4747688

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we establish some new oscillation criteria for the second-order damped dynamic equation (r(t)Psi(x(Delta)(t))(Delta) + p(t)Psi(x(Delta)(t))+ q(t)f(x(sigma)(t)) = 0, t is an element of T, where Psi(t), f (t), p(t), q(t) and r(t) are rd-continuous functions. By using a generalized Riccati transformation and integral averaging technique, we establish some new sufficient conditions which ensure that every solution of this equation oscillates.

引用

页码：251 / 254

页数：4

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