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Decomposition of systems of quasidifferential equations with rapid and slow variables

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Abstract

We obtain the decomposition of systems of quasidifferential equations with rapid and slow variables.

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References

  1. A. I. Panasyuk, “On quasidifferential equations in metric spaces,”Differents. Uravn. 21, No. 8, 1344–1353 (1985).

    MathSciNet  Google Scholar 

  2. A. I. Panasyuk, “Quasidifferential equations in a complete metric space under conditions of the Caratheodory type. I, II,”Differents. Uravn.,31, No. 6, 962–972; No. 8, 1361–1369 (1995).

    MathSciNet  Google Scholar 

  3. V. A. Plotnikov and L. I. Plotnikova, “Partial averaging of quasidifferential equations in metric spaces,”Urk. Mat. Zh.,47, No. 10, 1444–1449 (1995).

    MathSciNet  Google Scholar 

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

    Google Scholar 

  5. T. A. Mel’nik and V. A. Plotnikov, “Generalization of Tikhonov’s theorem for quasidifferential equations,”Differents. Uravn.,33, 1030–1034 (1997).

    MathSciNet  Google Scholar 

  6. V. A. Plotnikov and M. Larbani, “Justification of a scheme of partial averaging for systmes with slow and rapid variables,”Differents. Uravn.,28, No. 3, 428–432 (1992).

    MATH  MathSciNet  Google Scholar 

  7. M. M. Khapaev,Averaging in the Theory of Stability [in Russian], Nauka, Moscow (1986).

    Google Scholar 

  8. F. S. De Blassi, L. Brando, A. J. Pito, and F. Iervolino, “Uniqueness and existence theorems for differential equations with compact convex valued solutions,”J. Different. Equat.,4, No. 1, 42–54 (1970).

    Google Scholar 

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

    MATH  Google Scholar 

  10. A. V. Plotnikov, “Averaging of differential inclusions with the Hukuhara derivative,”Ukr. Mat. Zh.,41, No. 1, 121–125 (1989).

    Article  MathSciNet  Google Scholar 

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Odessa University, Odessa. Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 51, No. 3, pp. 413–417, March, 1999.

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Mel’nik, T.A. Decomposition of systems of quasidifferential equations with rapid and slow variables. Ukr Math J 51, 458–463 (1999). https://doi.org/10.1007/BF02592483

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  • DOI: https://doi.org/10.1007/BF02592483

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