Stability and Boundedness to Certain Differential Equations of Fourth Order with Multiple Delays

被引:6
作者
Korkmaz, Erdal [1 ]
Tunc, Cemil [2 ]
机构
[1] Mus Alparslan Univ, Dept Math, TR-49100 Mus, Turkey
[2] Yuzuncu Yil Univ, Dept Math, TR-65080 Van, Turkey
关键词
Fourth order nonlinear delay differential equation; Boundedness; Stability; Lyapunov Functional; FOURTH ORDER;
D O I
10.2298/FIL1405049K
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we give sufficient conditions to guarantee the asymptotic stability and boundedness of solutions to a kind of fourth-order functional differential equations with multiple delays. By using the Lyapunov-Krasovskii functional approach, we establish two new results on the stability and boundedness of solutions, which include and improve some related results in the literature.
引用
收藏
页码:1049 / 1058
页数:10
相关论文
共 44 条
[1]  
Abou-El-Ela A. M. A., 2009, INT J APPL MATH, V22, P245
[2]  
Abou-El-Ela A. M. A., 1990, ANN DIFFERENTIAL EQU, V6, P1
[3]  
Adesina O.A., 2012, Nonlinear Stud, V19, P359
[4]  
[Anonymous], J MATH ANAL APPL
[5]  
[Anonymous], ELECT J DIFFERENTIAL
[6]  
[Anonymous], J LONDON MATH SOC
[7]  
[Anonymous], 1956, Q J MECH APPL MATH, DOI DOI 10.1093/QJMAM/9.2.185
[8]  
BEREKETOGLU H, 1998, DYNAM SYSTEMS APPL, V7, P105
[9]  
Burganskaja L. I., 1970, DIFF URAVN, V6, P1314
[10]  
Chukwu EN, 1972, ANN MAT PUR APPL, V92, P1