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JOURNALS // Siberian Journal of Pure and Applied Mathematics // Archive

Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 2015 Volume 15, Issue 3, Pages 11–23 (Mi vngu372)

On inverse problems in classes of entire functions

Yu. E. Anikonovab, N. B. Ayupovaab

a Novosibirsk State University
b Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk

Abstract: We study some inverse problems of mathematical physics in classes of entire functions. We investigate some questions of construction of solutions and source functions in described classes for Maxwell system, Lamé system and for integral Volterra equation of the first kind.

Keywords: inverse problems, entire functions, ill-posed problems, Maxwell equations, Lamé equations, Volterra equations.

UDC: 517.9

Received: 02.06.2015

DOI: 10.17377/PAM.2015.15.302


 English version:
Journal of Mathematical Sciences, 2017, 221:6, 758–771


© Steklov Math. Inst. of RAS, 2025