STABILITY AND BOUNDEDNESS OF SOLUTIONS OF NONLINEAR VECTOR DIFFERENTIAL EQUATIONS OF THIRD ORDER

被引：6
作者：
Omeike, M. O. [1 ]
机构：
[1] Fed Univ Agr, Dept Math, Abeokuta, Nigeria
来源：
ARCHIVUM MATHEMATICUM | 2014年 / 50卷 / 02期
关键词：
boundedness; stability; Liapunov function; differential equations of third order;
D O I：
10.5817/AM2014-2-101
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A The paper studies the equation (X) triple over dot + Psi ((X) over dot) (sic) + Phi(X) (X) over dot + cX = P(t) in two cases: (i) P(t) equivalent to 0, (ii) P(t) not equal 0. In case (i), the global asymptotic stability of the solution X = 0 is studied; in case (ii), the boundedness of all solutions is proved.
引用
收藏
页码：101 / 106
页数：6
相关论文
共 11 条
[1]  
Chukwu E. N., 1975, ANN MAT PUR APPL, V4, P123
[2]  
EZEILO JOC, 1967, PROC CAMB PHILOS S-M, V63, P735
[3]  
Liapunov A. M., 1906, STABILITY MOTION
[4]   Boundedness of solutions of certain third order differential equation [J].
Mehri, B ;
Shadman, D .
MATHEMATICAL INEQUALITIES & APPLICATIONS, 1999, 2 (04) :545-549
[5]  
Omeike M. O., 2010, ACTA U PALACKI OLOMU, V49, P55
[6]  
RAO MRM, 1980, ORDINARY DIFFERENTIA
[7]  
Reissig R., 1974, NONLINEAR DIFFERENTI
[8]  
Tejumola H. O., 1972, ANN MAT PUR APPL, V92, P65
[9]  
Tunc C, 2005, KUWAIT J SCI ENG, V32, P39
[10]   Stability and boundedness results for solutions of certain third order nonlinear vector differential equations [J].
Tunc, Cemil ;
Ates, Muzaffer .
NONLINEAR DYNAMICS, 2006, 45 (3-4) :273-281
12