Existence of the nonoscillatory solutions of higher order neutral dynamic equations on time scales

被引：3

作者：

Tao, Chunyan ^{[1
]}

Sun, Taixiang ^{[1
]}

Xi, Hongjian ^{[2
]}

机构：

[1] Guangxi Coll & Univ Key Lab Math & Its Applicat, Nanning 530004, Peoples R China

[2] Guangxi Univ Finance & Econ, Coll Informat & Stat, Nanning 530003, Peoples R China

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2015年

关键词：

nonoscillatory solution; dynamic equation; time scale; OSCILLATION CRITERIA; ASYMPTOTIC-BEHAVIOR;

D O I：

10.1186/s13662-015-0621-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate the existence of the nonoscillatory solutions of the following higher order neutral dynamic equation: {r(n)(t)[(r(n-1)(t)( ... (r(1)(t)(x(t) - q(t)x(tau(t)))(Delta))(Delta) ... )(Delta))(Delta)](gamma)}(Delta) + f(t,x(delta(t))) = 0 for t is an element of [t(0), infinity)(T), and obtain some necessary and sufficient conditions for the existence of nonoscillatory bounded solutions for this equation.

引用

页数：15

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