Stability, boundedness, and square integrability of solutions to third order neutral differential equations with delay

被引：2

作者：

Khatir, Anes M. ^{[1
]}

Graef, John R. ^{[2
]}

Remili, Moussadek ^{[1
]}

机构：

[1] Univ Oran, Dept Math, 1 Ahmed Ben Bella, Oran 31000, Algeria

[2] Univ Tennessee, Dept Math, Chattanooga, TN 37403 USA

来源：

RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO | 2020年 / 69卷 / 03期

关键词：

Lyapunov functional; Delay differential equations; Third-order; Neutral differential equations; ASYMPTOTIC-BEHAVIOR; OSCILLATION; KIND;

D O I：

10.1007/s12215-019-00438-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, the asymptotic behavior of solutions of a class of non-autonomous third order neutral delay differential equations is studied. Results on the stability, boundedness, and the square integrability of solutions and their derivatives are obtained. An example to illustrate the results is included.

引用

页码：823 / 836

页数：14

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