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Siberian Mathematical Journal

, Volume 39, Issue 5, pp 947–952 | Cite as

Averaging of quasidifferential equations with fast and slow variables

  • T. A. Mel'nik
  • V. A. Plotnikov
Article

Keywords

Small Parameter Average Method Differential Inclusion Hausdorff Distance Slow Variable 
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. 1.
    V. M. Volosov, “On the averaging method,” Dokl. Akad. Nauk SSSR,37, No. 1, 21–24 (1961).Google Scholar
  2. 2.
    M. M. Khapaev and O. P. Filatov, “The averaging principle for systems with ‘fast’ and ‘slow’ variables,” Differentsial'nye Uravneniya,19, No. 9, 1640–1643 (1983).zbMATHMathSciNetGoogle Scholar
  3. 3.
    K. V. Zadiraka, “Studying a solution of a system of nonlinear differential equations with a small parameter,” Ukrain. Mat. Z.,10, No. 2, 121–127 (1958).zbMATHCrossRefMathSciNetGoogle Scholar
  4. 4.
    A. I. Panasyuk, “On quasidifferential equations in a metric space,” Differentsial'nye Uravneniya,21, No. 8, 1344–1353 (1985).MathSciNetGoogle Scholar
  5. 5.
    A. I. Panasyuk, “Quasidifferential equations in a complete metric space under Carathéodory-type conditions,” I: Differentsial'nye Uravneniya,31, No. 6, 962–972 (1997); II: Differentsial'nye Uravneniya,31, No. 8, 1361–1369 (1995).MathSciNetGoogle Scholar
  6. 6.
    V. A. Plotnikov and L. I. Plotnikova, “Partial averaging of quasidifferential equations in metric spaces,” Ukrain. Mat. Zh.,47, No. 10, 1442–1447 (1995).zbMATHMathSciNetGoogle Scholar
  7. 7.
    V. A. Plotnikov and L. I. Plotnikova, “Averaging of quasidifferential equations in metric spaces,” Differentsial'nye Uravneniya,31, No. 10, 1678–1683 (1995).MathSciNetGoogle Scholar
  8. 8.
    V. I. Zubov, Stability of Motion [in Russian], Vysshaya Shkola, Moscow (1973).Google Scholar
  9. 9.
    A. A. Tolstonogov, Differential Inclusions in Banach Space [in Russian], Nauka, Novosibirsk (1986).zbMATHGoogle Scholar
  10. 10.
    V. A. Plotnikov, “Averaging of the equations of a controllable motion with multivalued trajectories,” Ukrain. Mat. Zh.,39, No. 5, 657–659 (1987).MathSciNetGoogle Scholar
  11. 11.
    M. Hukuhara, “Integration des applications mesurables dont la valeur est un compact convexe,” Funcial. Ekvac.,10, 205–223 (1967).zbMATHMathSciNetGoogle Scholar

Copyright information

© Plenum Publishing Corporation 1998

Authors and Affiliations

  • T. A. Mel'nik
  • V. A. Plotnikov

There are no affiliations available

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