We develop a new method for studying inverse problems of mathematical physics by using systems of equations of ray expansion of solutions to parabolic and hyperbolic equations with variable coefficients.
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Translated from Sibirskii Zhurnal Chistoi i Prikladnoi Matematiki 17, No. 1, 2017, pp. 3-16.
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Anikonov, Y.E., Ayupova, N.B. Ray Expansions and Identities for Second Order Equations. Applications to Inverse Problems. J Math Sci 231, 111–123 (2018). https://doi.org/10.1007/s10958-018-3809-x
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DOI: https://doi.org/10.1007/s10958-018-3809-x