Literature Cited
A. N. Tikhonov, “Uniqueness theorems for the heat equation,” Matem. Sb.,42, No. 2, 199–216 (1935).
A. N. Tikhonov, “On the regularization of incorrectly posed problems,” Dokl. Akad. Nauk SSSR,153, No. 1, 49–52 (1963).
A. N. Tikhonov, V. K. Ivanov, and M. M. Lavrent'ev, “Incorrectly posed problems,” Trudy symposium celebrating the 60th birthday of academician S. L. Sobolev, Novosibirsk, Nauka, 224–238 (1970).
M. M. Lavrent'ev, On Some Incorrect Problems of Mathematical Physics [in Russian], Izd. SO AN SSSR, Novosibirsk (1962).
M. M. Lavrent'ev, “On a class of inverse problems for differential equations,” Dokl. Akad. Nauk SSSR,160, No. 1, 32–35 (1965).
V. K. Ivanov, “Integral equations of the first kind and the approximate solution of an inverse problem of potential theory,” Dokl. Akad. Nauk SSSR,142, No. 5, 997–1000 (1962).
M. M. Lavrent'ev, V. G. Romanov, and V. G. Vasil'ev, Multidimensional Inverse Problems for Differential Equations [in Russian], Nauka, Novosibirsk (1969).
A. I. Prilepko, “On the uniqueness of the solution of an inverse problem represented by an integral equation of the first kind,” Dokl. Akad. Nauk SSSR,167, No. 4, 751–754 (1966).
A. I. Prilepko, “On inverse problems of potential theory,” Diff. Urav.,3, No. 1, 30–44 (1967).
G. I. Marchuk, “On the statement of some inverse problems,” Dokl. Akad. Nauk SSSR,156, No. 3, 503–506 (1964).
G. I. Marchuk, “An equation for the value of information with meteorological satellites and the statement of inverse problems,” Cosmic Studies,2, No. 3, 462–477 (1964).
A. I. Prilepko, “Inverse problems of potential theory (elliptic, parabolic, and hyperbolic equations and the transport equation),” Mat. Zametki,14, No. 5, 777–789 (1973).
V. S. Vladimirov, “On an integro-differential equation,” Izv. Akad. Nauk SSSR. Ser. Mat.21, No. 1, 3–52 (1957).
V. S. Vladimirov, Mathematical Problems of the One-Speed Theory of the Transport of Particles [in Russian], Tr. Mat. In. Akad. Nauk SSSR,61 (1961).
S. G. Mikhlin, Multidimensional Singular Integrals and Integral Equations [in Russian], Fizmatgiz, Moscow (1962).
R. Narasimian, Analysis on Real and Complex Manifolds [Russian translation], Mir, Moscow (1971).
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Translated from Sibirskii Matematicheskii Zhurnal, Vol. 16, No. 3, pp. 432–439, May–June, 1975.
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Anikonov, D.S. On an inverse problem for the transport equation. Sib Math J 16, 329–334 (1975). https://doi.org/10.1007/BF00967523
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DOI: https://doi.org/10.1007/BF00967523