Stability, Boundedness, and Existence of Periodic Solutions to Certain Third-Order Delay Differential Equations with Multiple Deviating Arguments

被引：10

作者：

Ademola, A. T. ^{[1
]}

Ogundare, B. S. ^{[1
]}

Ogundiran, M. O. ^{[1
]}

Adesina, O. A. ^{[1
]}

机构：

[1] Obajerni Awolowo Univ, Dept Math, RGDEA, Ife 220005, Nigeria

来源：

INTERNATIONAL JOURNAL OF DIFFERENTIAL EQUATIONS | 2015年 / 2015卷

关键词：

D O I：

10.1155/2015/213935

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The behaviour of solutions for certain third-order nonlinear differential equations with multiple deviating arguments is considered. By employing Lyapunov's second method, a complete Lyapunov functional is constructed and used to establish sufficient conditions that guarantee existence of unique solutions that are periodic, uniformly asymptotically stable, and uniformly ultimately bounded. Obtained results not only are new but also include many outstanding results in the literature. Finally, the correctness and effectiveness of the results are justified with examples.

引用

页数：12

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