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Periodic solutions of evolution equations with homogeneous principal part

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Abstract

We prove a priori estimates and existence theorems for periodic solutions of evolution equations whose principal part is homogeneous with respect to the phase variable and is nonstationary in time. We outline applications to differential equations of the parabolic type.

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Authors and Affiliations

  1. Yaroslavl State University, Yaroslavl, Russia

    V. S. Klimov

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  1. V. S. Klimov
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Original Russian Text © V.S. Klimov, 2008, published in Differentsial’nye Uravneniya, 2008, Vol. 44, No. 8, pp. 1068–1076.

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Klimov, V.S. Periodic solutions of evolution equations with homogeneous principal part. Diff Equat 44, 1101–1110 (2008). https://doi.org/10.1134/S0012266108080077

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  • DOI: https://doi.org/10.1134/S0012266108080077

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