Stability theorem for delay differential equations with impulses

  • Authors:
  • X. H. Tang;Zhimin He;J. S. Yu

  • Affiliations:
  • Department of Applied Mathematics, Central South University, Changsha, Hunan 410083, China;Department of Applied Mathematics, Central South University, Changsha, Hunan 410083, China;Department of Applied Mathematics, Hunan University, Changsha, Hunan 410082, China

  • Venue:
  • Applied Mathematics and Computation
  • Year:
  • 2002

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Abstract

In this paper we obtain the 3/2 stability theorems for the delay differential equation with impulses x'(t)+ λx(t) + F(t,x(.))=0, t≥0, t ≠ tk, x(tk+) - x(tk) = Ik(x(tk)), k = 1,2...