International Journal of Theoretical Physics

, Volume 31, Issue 2, pp 353–361 | Cite as

Dichotomies for linear impulsive differential equations with variable structure

  • N. V. Milev
  • D. D. Bainov
Article
  • 40 Downloads

Abstract

The notions ofordinary andexponential dichotomy for linear impulsive differential equations are made precise.

Keywords

Differential Equation Field Theory Elementary Particle Quantum Field Theory Variable Structure 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. Coppel, W. A. (1978).Dichotomies in Stability Theory, Springer-Verlag, Berlin.Google Scholar
  2. Lakshmikantham, V., and Liu, X. (1989).Journal of Mathematical Analysis and Applications,137, 591–604.Google Scholar
  3. Lakshmikantham, V., and Liu, X. (to appear). Equations in terms of two measures,Applied Mathematics and Computation, to appear.Google Scholar
  4. Lakshmikantham, V., Bainov, D. D., and Simeonov, P. S. (1989).Theory of Impulsive Differential Equations, World Scientific, Singapore.Google Scholar
  5. Milev, N. V., and Bainov, D. D. (to appear-a). Stability of linear impulsive differential equations,International Journal of System Science. Google Scholar
  6. Milev, N. V., and Bainov, D. D. (to appear-b). Exponential stability of linear impulsive differential equations.Google Scholar
  7. Samoilenko, A., and Perestyuk, N. (1987).Differential Equations with Impulse Effect, Naukova Dumka, Kiev.Google Scholar

Copyright information

© Plenum Publishing Corporation 1992

Authors and Affiliations

  • N. V. Milev
    • 1
  • D. D. Bainov
    • 1
  1. 1.Plovdiv University “Paissii Hilendarski”PlovdivBulgaria

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