Algebraic-Analytic Methods for Constructing Solutions to Differential Equations and Inverse Problems


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Abstract

We present new algebraic-analytic methods for constructing solutions to differential equations and inverse problems. In particular, we develop a new approach based on the ray method for inverse problems in mathematical physics. Bibliography: 23 titles.

About the authors

Yu. E. Anikonov

Sobolev Institute of Mathematics SB RAS; Novosibirsk State University

Author for correspondence.
Email: anikon@math.nsc.ru
Russian Federation, 4, pr. Akad, Novosibirsk, Koptyuga, 630090; 2, ul. Pirogova, Novosibirsk, 630090

M. V. Neshchadim

Sobolev Institute of Mathematics SB RAS; Novosibirsk State University

Email: anikon@math.nsc.ru
Russian Federation, 4, pr. Akad, Novosibirsk, Koptyuga, 630090; 2, ul. Pirogova, Novosibirsk, 630090


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