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Oscillation and stability of nonlinear neutral impulsive delay differential equations

  • Yong Duan
  • Peng Tian
  • Shunian Zhang
Article

Abstract

In this paper, oscillation and stability of nonlinear neutral impulsive delay differential equation are studied. The main result of this paper is that oscillation and stability of nonlinear impulsive neutral delay differential equation are equivalent to oscillation and stability of corresponding nonimpulsive neutral delay differential equations. At last, two examples are given to illustrate the importance of this study.

AMS Subject Classification

34A37 34K15 

Key words and phrases

Oscillation stability impulse neutral delay differential equation 

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Copyright information

© Korean Society for Computational & Applied Mathematics 2003

Authors and Affiliations

  • Yong Duan
    • 1
  • Peng Tian
    • 1
  • Shunian Zhang
    • 1
  1. 1.School of ManagementShanghai JiaoTong UniversityShanghaiP. R. China

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