Oscillation of third order nonlinear damped dynamic equation with mixed arguments on time scales

被引：5

作者：

Sui, Ying ^{[1
]}

Sun, Shurong ^{[1
]}

机构：

[1] Univ Jinan, Sch Math Sci, Jinan, Shandong, Peoples R China

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2018年

关键词：

Time scales; Oscillation; Mixed arguments; Damped; DIFFERENTIAL-EQUATIONS; CRITERIA;

D O I：

10.1186/s13662-018-1654-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The objective of this paper is to offer sufficient conditions for the oscillation of all solutions of the third order nonlinear damped dynamic equation with mixed arguments of the form (r(2)(r(1)(y(Delta))(alpha))(Delta))(Delta)(t) + p(t)psi(t, y(Delta)(a(t))) + q(t)f(t, y(g(t))) = 0 on time scales, where a(t) >= t and g(t) <= t. Using Riccati transformation, integral averaging technique, and comparison theorem, we give some new criteria for the oscillation of the studied equation. Our results essentially improve and complement the earlier ones.

引用

页数：17

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