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

作者：Jiang, F.; Shen, J.^*

来源：Acta Mathematica Hungarica, 2013, 138(1-2): 1-14.

DOI：10.1007/s10474-012-0282-8

• nonlinear neutral delay differential equation
• constant impulsive jump
• Lyapunov functional
• asymptotic behavior
• forced term

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 ->infinity. Our results improve and generalize some known results in the literature.

• 出版日期2013-1
• 单位杭州师范大学