Asymptotic behavior of solutions for a nonlinear differential equation with constant impulsive jumps

被引：0
作者：
Fangfang Jiang
Jianhua Shen
机构：
[1] Hangzhou Normal University,Department of Mathematics
来源：
Acta Mathematica Hungarica | 2013年 / 138卷
关键词：
nonlinear neutral delay differential equation; constant impulsive jump; Lyapunov functional; asymptotic behavior; forced term; 34K15; 34K20;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We investigate the asymptotic behavior of solutions to the nonlinear neutral delay differential equation (1.1) with constant impulsive jumps and forced term. By employing a new approach which is different from Lyapunov functionals and an effective technic for the constant impulsive jumps, new sufficient conditions are obtained to guarantee every non-oscillatory/oscillatory solution of the equation tends to zero as t→∞. Our results improve and generalize some known results in the literature.
引用
收藏
页码：1 / 14
页数：13
相关论文
共 26 条
[1]  
Anokhin A. V.(1995)Exponential stability of linear delay impulsive differential equations J. Math. Anal. Appl. 193 923-941
[2]  
Berezansky L.(2011)Asymptotic behavior of solutions of a first-order impulsive neutral differential equation in Euler form Appl. Math. Lett. 24 1218-1224
[3]  
Braverman E.(1997)Annulus arguments in the stability theory for functional differential equations Differential and Integral Equations 10 975-1002
[4]  
Guan K.(1983)Asymptotic behavior of solutions of retarded differential equations Proc. Amer. Math. Soc. 88 247-253
[5]  
Shen J.(1999)Asymptotic behavior of solutions of impulsive neutral differential equations Appl. Math. Lett. 12 51-58
[6]  
Hatvani L.(2005)Impulsive control for stability of Volterra functional differential equations J. for Anal. and its Appl. 24 721-734
[7]  
Ladas G.(2007)Asymptotic behavior of solutions of nonlinear neutral differential equations with impulses J. Math. Anal. Appl. 322 179-189
[8]  
Liu X.(1999)Impulsive stabilization of functional differential equations via Lyapunov functionals J. Math. Anal. Appl. 240 1-15
[9]  
Shen J.(1995)Asymptotic behavior of solutions of neutral differential equations with positive and negative coefficients J. Math. Anal. Appl. 195 517-526
[10]  
Shen J.(2006)Asymptotic behavior of solutions of nonlinear impulsive delay differential equations with positive and negative coefficients Math. Computer Model. 44 1089-1096
123