Abstract
We study solvability of the inverse problems of recovering an unknown function on the nonlinear right-hand side of a first order operator-differential equation in some Banach space. The equation is furnished with the Cauchy data, and the overdetermination condition is the value of some operator at a solution. The existence and uniqueness theorems local in time are established.
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The author was supported by the Russian Foundation for Basic Research (Grant 18-01-00620a).
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Translated from Sibirskii Matematicheskii Zhurnal, vol. 60, no. 1, pp. 183–193, January–February, 20192019; DOI: 10.17377/smzh.2019.60.115.
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Pyatkov, S.G. On Some Inverse Problems for First Order Operator-Differential Equations. Sib Math J 60, 140–147 (2019). https://doi.org/10.1134/S0037446619010154
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DOI: https://doi.org/10.1134/S0037446619010154