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Averaging of quasidifferential equations with fast and slow variables

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References

  1. V. M. Volosov, “On the averaging method,” Dokl. Akad. Nauk SSSR,37, No. 1, 21–24 (1961).

    Google Scholar 

  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).

    MATH  MathSciNet  Google Scholar 

  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).

    Article  MATH  MathSciNet  Google Scholar 

  4. A. I. Panasyuk, “On quasidifferential equations in a metric space,” Differentsial'nye Uravneniya,21, No. 8, 1344–1353 (1985).

    MathSciNet  Google Scholar 

  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).

    MathSciNet  Google Scholar 

  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).

    MATH  MathSciNet  Google Scholar 

  7. V. A. Plotnikov and L. I. Plotnikova, “Averaging of quasidifferential equations in metric spaces,” Differentsial'nye Uravneniya,31, No. 10, 1678–1683 (1995).

    MathSciNet  Google Scholar 

  8. V. I. Zubov, Stability of Motion [in Russian], Vysshaya Shkola, Moscow (1973).

    Google Scholar 

  9. A. A. Tolstonogov, Differential Inclusions in Banach Space [in Russian], Nauka, Novosibirsk (1986).

    MATH  Google Scholar 

  10. V. A. Plotnikov, “Averaging of the equations of a controllable motion with multivalued trajectories,” Ukrain. Mat. Zh.,39, No. 5, 657–659 (1987).

    MathSciNet  Google Scholar 

  11. M. Hukuhara, “Integration des applications mesurables dont la valeur est un compact convexe,” Funcial. Ekvac.,10, 205–223 (1967).

    MATH  MathSciNet  Google Scholar 

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Authors
  1. T. A. Mel'nik
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  2. V. A. Plotnikov
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Additional information

Odessa. Translated fromSibirskiî Matematicheskiî Zhurnal, Vol. 39, No. 5, pp. 1098–1103, September–October, 1998.

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Mel'nik, T.A., Plotnikov, V.A. Averaging of quasidifferential equations with fast and slow variables. Sib Math J 39, 947–952 (1998). https://doi.org/10.1007/BF02672916

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  • DOI: https://doi.org/10.1007/BF02672916

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