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Random integral manifolds of systems of differential equations with unbounded operator in a Banach space

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Abstract

We establish existence conditions for a random integral manifold of a certain class of differential systems with unbounded sectorial operator and random right-hand side in a Banach space.

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References

  1. N. N. Bogolyubov, On Some Statistical Methods in Mathematical Physics [in Russian], Academy of Sciences of the Ukr. SSR, Lvov (1945).

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  2. Yu. A. Mitropol’skii and O. B. Lykova, Integral Manifolds in Nonlinear Mechanics [in Russian], Nauka, Moscow (1973).

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  3. V. G. Kolomiets and A. I. Mel’nikov, “On the integral manifolds of systems of differential equations with random right-hand sides in a Banach space,” Ukr. Mat. Zh., 44, No. 1, 17–21 (1992).

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  4. D. Henry, Geometric Theory of Semilinear Parabolic Equations, Springer-Verlag, Berlin (1981).

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Authors and Affiliations

  1. Institute of Mathematics, Ukrainian Academy of Sciences, Kiev

    V. G. Kolomiets & A. I. Mel’nikov

Authors
  1. V. G. Kolomiets
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  2. A. I. Mel’nikov
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Additional information

Translated from Ukrainskii Matematicheskii Zhumal, Vol. 50, No. 12, pp. 1609–1614, December, 1998.

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Kolomiets, V.G., Mel’nikov, A.I. Random integral manifolds of systems of differential equations with unbounded operator in a Banach space. Ukr Math J 50, 1837–1843 (1998). https://doi.org/10.1007/BF02514200

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  • DOI: https://doi.org/10.1007/BF02514200

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