Geodesic
Boundary-value problem for systems of convolutional equations in anisotropic functional spaces
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the International Conference "Classical and Modern Geometry" Dedicated to the 100th Anniversary of the Birth of Professor Vyacheslav Timofeevich Bazylev. Moscow, April 22-25, 2019. Part 4, Tome 182 (2020), pp. 66-69

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In this paper, anisotropic classes of well-posed Cauchy problems and boundary-value problems for systems of convolutions equations are obtained. For a particular case of differential equations, a hypersurface of conjugate orders of the corresponding polynomial is used, and various classes of well-posed problems are obtained.
Mots-clés : convolution equation, Fourier transform
Keywords: boundary-value problem, hypersurface of conjugate orders, anisotropic space of functions. 
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     author = {{\CYRA}. {\CYRA}. Makarov},
     title = {Boundary-value problem for systems of convolutional equations in anisotropic functional spaces},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {66--69},
     publisher = {mathdoc},
     volume = {182},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2020_182_a10/}
}
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А. А. Makarov. Boundary-value problem for systems of convolutional equations in anisotropic functional spaces. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the International Conference "Classical and Modern Geometry" Dedicated to the 100th Anniversary of the Birth of Professor Vyacheslav Timofeevich Bazylev. Moscow, April 22-25, 2019. Part 4, Tome 182 (2020), pp. 66-69. http://geodesic.mathdoc.fr/item/INTO_2020_182_a10/