Geodesic
Dirichlet problem on the semiaxis for the abstract Euler--Poisson--Darboux equation containing powers of the group generator
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the Voronezh international winter mathematical school "Modern methods of function theory and related problems", Voronezh, January 27 - February 1, 2023, Part 2, Tome 228 (2023), pp. 10-19

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For the abstract Euler–Poisson–Darboux equation containing powers of an unbounded operator, sufficient conditions for the unique solvability of the Dirichlet problem on the semiaxis are obtained.
Mots-clés : abstract Euler–Poisson–Darboux equation
Keywords: degrees of an unbounded operator, Dirichlet problem, unique solvability 
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     author = {A. V. Glushak},
     title = {Dirichlet problem on the semiaxis for the abstract {Euler--Poisson--Darboux} equation containing powers of the group generator},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {10--19},
     publisher = {mathdoc},
     volume = {228},
     year = {2023},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2023_228_a1/}
}
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A. V. Glushak. Dirichlet problem on the semiaxis for the abstract Euler--Poisson--Darboux equation containing powers of the group generator. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the Voronezh international winter mathematical school "Modern methods of function theory and related problems", Voronezh, January 27 - February 1, 2023, Part 2, Tome 228 (2023), pp. 10-19. http://geodesic.mathdoc.fr/item/INTO_2023_228_a1/