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On averaging of differential inclusions in the case where the average of the right-hand side does not exist

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Abstract

We consider the problem of application of the averaging method to the asymptotic approximation of solutions of differential inclusions of standard form in the case where the average of the right-hand side does not exist.

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References

  1. V. A. Plotnikov,Averaging Method in Problems of Control [in Russian], Lybid’, Kiev (1992).

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  2. A. F. Fillippov, “Classical solutions of differential equations with the multivalued right-hand side,”Vestn. Mosk. Univ., Ser. Mat.Mekh.,3 (1967) 16–26.

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  3. K. Kuratowskii,Topology, Academic Press, New York 1968.

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Authors
  1. V. A. Plotnikov
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  2. V. M. Savchenko
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Plotnikov, V.A., Savchenko, V.M. On averaging of differential inclusions in the case where the average of the right-hand side does not exist. Ukr Math J 48, 1779–1784 (1996). https://doi.org/10.1007/BF02529499

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  • DOI: https://doi.org/10.1007/BF02529499

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