Boundedness analysis for certain two-dimensional differential systems via a Lyapunov approach

被引:0
作者
Tunc, Cemil [1 ]
机构
[1] Yuzuncu Yil Univ, Fac Arts & Sci, Dept Math, TR-65080 Van, Turkey
来源
BULLETIN MATHEMATIQUE DE LA SOCIETE DES SCIENCES MATHEMATIQUES DE ROUMANIE | 2010年 / 53卷 / 01期
关键词
Boundedness; two-dimensional differential system; EQUATIONS; 2ND-ORDER; STABILITY;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, the problem of boundedness of solutions of a two-dimensional differential system is considered. Based on the Lyapunov function approach, a new boundedness criterion is derived in terms of this system. An example is given to show the effectiveness of our result.
引用
收藏
页码:61 / 68
页数:8
相关论文
共 6 条
[1]   LYAPUNOV FUNCTIONS FOR A CLASS OF LARGE-SCALE SYSTEMS [J].
SINHA, ASC .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1980, 25 (03) :558-560
[2]  
Tunc C, 2006, IRAN J SCI TECHNOL A, V30, P213
[3]  
Tunc C, 2006, B MATH SOC SCI MATH, V49, P291
[4]  
Tunç C, 2008, ARAB J SCI ENG, V33, P83
[5]   Stability and boundedness properties of certain second-order differential equations [J].
Tunc, Cemil ;
Sevli, Hamdullah .
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2007, 344 (05) :399-405
[6]   On the asymptotic behavior of solutions of certain second-order differential equations [J].
Tunc, Cemil ;
Tunc, Ercan .
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2007, 344 (05) :391-398