Abstract
The paper considers Cauchy problem in the Gevre type multianisotropic spaces. Necessary and sufficient conditions for unique solvability of this problem are obtained and the properties of operators (polynomials) that are hyperbolic with a specified weight are investigated.
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Original Russian Text © V. N. Margaryan, H. G. Ghazaryan, 2018, published in Izvestiya Natsional’noi Akademii Nauk Armenii, Matematika, 2018, No. 6, pp. 53–69.
The research was supported by GKN MON RA under project # SCS 15T-1A 197, and by the thematic fund of Russian- Armenian (Slavonic) University.
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Margaryan, V.N., Ghazaryan, H.G. On a Class of Weakly Hyperbolic Operators. J. Contemp. Mathemat. Anal. 53, 307–316 (2018). https://doi.org/10.3103/S1068362318060018
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DOI: https://doi.org/10.3103/S1068362318060018