ON THE BOUNDEDNESS OF SOLUTIONS OF DELAY DIFFERENTIAL EQUATIONS OF THIRD ORDER

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：
ARABIAN JOURNAL FOR SCIENCE AND ENGINEERING | 2009年 / 34卷 / 1A期
关键词：
boundedness; nonlinear differential equations of third order with delay; energy functional; STABILITY;
D O I：
暂无
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
This paper establishes sufficient conditions to ensure the boundedness of all solutions of a nonlinear differential equation of third order with delay. By constructing energy functional, we obtain a new result which includes and improves some related results in the literature.
引用
收藏
页码：227 / 237
页数：11
相关论文
共 22 条
[1]  
[Anonymous], STABILITY MOTION
[2]  
Bereketoglu H.U., 2005, AN STIINT U AL I CUZ, V51, P245
[3]  
Burton T. A., 1985, Stability and Periodic Solutions of Ordinary and Functional Differential Equations
[4]  
Chukwu E. N., 1978, ATTI ACCAD NAZ LIN, V64, P440
[5]  
El'sgol'ts L.E., 1966, Introduction to the theory differential equations with deviating arguments
[6]  
Elsgolts L.E., 1973, Introduction to the Theory of Differential Equations with Deviated Argument
[7]  
HALE J, 1977, THEORY FUNCTIONAL DI
[8]  
Kolmanovskii V.B., 1986, MATH SCI ENG, V180
[9]  
Kolmanovskii V. B., 1999, Introduction to the Theory and Applications of Functional Differential Equations
[10]  
KRASOVSKII N. N., 1963, Stability of motion. Applications of Lyapunov's second method to differential systems and equations with delay
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