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aequationes mathematicae

, Volume 41, Issue 1, pp 212–221 | Cite as

Properties of theLp-solutions of linear impulsive equations in a Banach space

  • D. D. Bainov
  • S. I. Kostadinov
  • A. D. Myshkis
Research Papers

Summary

In the paper conditions for the existence ofLp-conditions (1 ≤p ≤ ∞) of linear impulsive equations in a Banach space are found.

AMS (1980) subject classification

Primary 34G10, 34K35 

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References

  1. [1]
    Mil'man, A. D. andMyshkis, A. D.,On the stability of motion in the presence of impulses (Russian). Sibirsk. Mat. J.1 (1960), 233–237.Google Scholar
  2. [2]
    Simeonov, P. S. andBainov, D. D.,Stability under persistent disturbances for systems with impulse effect. J. Math. Anal. Appl.109 (1985), 546–563.Google Scholar
  3. [3]
    Simeonov, P. S. andBainov, D. D.,Stability in linear approximation of systems with impulse effect Rend. Sem. Mat. Univ. Politecn. Torino,43 (1985), 303–322.Google Scholar
  4. [4]
    Bainov, D. D. andSimeonov, P. S.,Systems with impulse effect. Stability, theory and applications. Ellis Horwood, Chichester, 1969.Google Scholar
  5. [5]
    Bainov, D. D. andKostadinov, S. I. andMyshkis, A. D.,Bounded and periodic solutions of differential equations with impulse effect in a Banach space. Differential Integral Equations1 (1988), 223–230.Google Scholar
  6. [6]
    Zabreiko, P. P., Bainov, D. D. andKostadinov, S. I.,Characteristic exponents of impulsive differential equations in a Banach space. Internat. J. Theoret. Phys.27 (1988), 731–743.Google Scholar
  7. [7]
    Daleckii, L. Yu. andKrein, M. G.,Stability of solutions of differential equations in a Banach space. Amer. Math. Soc., Providence, RI, 1974.Google Scholar

Copyright information

© Birkhäuser Verlag 1991

Authors and Affiliations

  • D. D. Bainov
    • 1
    • 2
  • S. I. Kostadinov
    • 1
    • 2
  • A. D. Myshkis
    • 1
    • 2
  1. 1.Plovdiv University, Plovdiv, Bulgaria. “Paissii Hilendarskii”PlovdivBulgaria
  2. 2.Moscow Institute of Railway Transport EngineersMoscowUSSR

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