Stability and boundedness of the nonlinear differential equations of third order with multiple deviating arguments

被引：7

作者：

Tunc, Cemil ^{[1
]}

机构：

[1] Yuzuncu Yil Univ, Fac Sci, Dept Math, TR-65080 Van, Turkey

来源：

AFRIKA MATEMATIKA | 2013年 / 24卷 / 03期

关键词：

Stability; Boundedness; Lyapunov functional; Differential equation; Third order; Multiple deviating arguments;

D O I：

10.1007/s13370-012-0067-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We establish some sufficient conditions to guarantee the stability of the zero solution and the boundedness of all solutions of certain nonlinear differential equations of third order with multiple deviating arguments. In the proofs, the Lyapunov functional approach is employed as main tool and an example is given to illustrate the feasibility of the established results.

引用

页码：381 / 390

页数：10