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Analytical Aspects of the Theory of Tikhonov Systems

Author

Listed:
  • Margarita Besova

    (Department of Mathematical Sciences, National Research University “MPEI”, 111250 Moscow, Russia
    These authors contributed equally to this work.)

  • Vasiliy Kachalov

    (Department of Mathematical Sciences, National Research University “MPEI”, 111250 Moscow, Russia
    These authors contributed equally to this work.)

Abstract

It is proved that the solutions of Tikhonov systems, in addition to having the property of a limiting transition, are pseudoholomorphic under certain conditions additional to the conditions of A.N. Tikhonov’s theorem. At the same time, the number of fast and slow variables can be anything. Both initial and boundary value problems for systems of this type are considered.

Suggested Citation

  • Margarita Besova & Vasiliy Kachalov, 2021. "Analytical Aspects of the Theory of Tikhonov Systems," Mathematics, MDPI, vol. 10(1), pages 1-14, December.
    • Handle: RePEc:gam:jmathe:v:10:y:2021:i:1:p:72-:d:711469
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