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On parameter dependence of bounded invariant manifolds of autonomous systems of differential equations

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Ukrainian Mathematical Journal Aims and scope

Abstract

We consider bounded invariant manifolds of autonomous systems of differential equations and study the problem of their continuity and continuous differentiability with respect to a parameter.

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References

  1. Yu. A. Mitropol’skii, A. M. Samoilenko, and V. L. Kulik, Investigation of Dichotomy of Linear Systems of Differential Equations by- Using Lyapunov Functions [in Russian], Nauka, Moscow 1990.

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  2. A. M. Samoilenko, Elements of the Mathematical Theory of Multifrequency Oscillations. Invariant Tori [in Russian], Nauka, Moscow 1987.

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Authors
  1. S. B. Bodnaruk
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  2. V. L. Kulik
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Bodnaruk, S.B., Kulik, V.L. On parameter dependence of bounded invariant manifolds of autonomous systems of differential equations. Ukr Math J 48, 838–845 (1996). https://doi.org/10.1007/BF02384170

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  • DOI: https://doi.org/10.1007/BF02384170

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