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.
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Translated from Vestnik Novosibirskogo Gosudarstvennogo Universiteta: Seriya Matematika, Mekhanika, Informatika 15, No. 2, 2015, pp. 3-21.
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Anikonov, Y.E., Neshchadim, M.V. Algebraic-Analytic Methods for Constructing Solutions to Differential Equations and Inverse Problems. J Math Sci 215, 444–459 (2016). https://doi.org/10.1007/s10958-016-2850-x
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DOI: https://doi.org/10.1007/s10958-016-2850-x