Acta mathematica scientia,Series A

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The Persistence of Nonoscillatory Solutions of Difference Equations Under Impulsive Perturbations

Wei Gengping; Shen Jianhua   

  1. Department of Mathematics, Huaihua College, Huaihua 418008
  • Received:2004-06-06 Revised:2005-11-30 Online:2006-08-25 Published:2006-08-25
  • Contact: Wei Gengping

Abstract:
The authors obtain a sufficient condition for the persistence of nonoscillatory solutions of the difference equation with continuous variable

x(t+τ)-x(t)+p(t)x(t-rτ)=0

under the impulsive perturbations x(tk+τ)-x(tk)=b_kx(tk), k∈N(1)

Key words:
Persistence,
Nonoscillatory solution, Impulsive perturbation, Difference equation with continuous variable

CLC Number: 

  • 34K15
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