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

共 31 条

[1]

Abou-El-Ela AMA, 2009, INT J AUTOMATIC CONT, V9, P9

[2] Existence and uniqueness of a periodic solution to certain third order nonlinear delay differential equation with multiple deviating arguments [J].

Ademola, Adeleke Timothy .

ACTA UNIVERSITATIS SAPIENTIAE-MATHEMATICA, 2013, 5 (02) :113-131

[3]

Ademola AT, 2013, MATH J OKAYAMA U, V55, P157

[4]

Ademola AT, 2013, DIFFERENTIAL EQUATIO, V4, P43

[5] Boundedness results for a certain third order nonlinear differential equation [J].

Ademola, Timothy A. ;

Ogundiran, Michael O. ;

Arawomo, Peter O. ;

Adesina, Olufemi Adeyinka .

APPLIED MATHEMATICS AND COMPUTATION, 2010, 216 (10) :3044-3049

[6] Results on the qualitative behaviour of solutions for a certain class of third order nonlinear delay differential equation [J].

Adesina, Olufemi Adeyinka .

10TH INTERNATIONAL CONFERENCE ON MATHEMATICAL PROBLEMS IN ENGINEERING, AEROSPACE AND SCIENCES (ICNPAA 2014), 2014, 1637 :5-12

[7] Stability and boundedness of solutions of a kind of third-order delay differential equations [J].

Afuwape, A. U. ;

Omeike, M. O. .

COMPUTATIONAL & APPLIED MATHEMATICS, 2010, 29 (03) :329-342

[8]

Burton T. A., 1983, VOLTERRA INTEGRAL DI

[9]

BURTON TA, 1985, MATH SCI ENG, V178

[10]

Chukwu E. N., 1978, ATTI ACCAD NAZ SFMN, V64, P440

← 1 2 3 4 →