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On inverse problems for odd-order quasilinear evolution equations with general nonlinearity

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Abstract

The results on well-posedness of two inverse problems with integral overdetermination on a bounded interval for a class of odd-order evolution equations with general nonlinearity are established. Either the right-hand side of equations or the boundary data are chosen as controls. Assumptions on smallness of the input data or smallness of a time interval are required.

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Correspondence to Andrei V. Faminskii.

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Faminskii, A.V. On inverse problems for odd-order quasilinear evolution equations with general nonlinearity. J Math Sci 271, 281–299 (2023). https://doi.org/10.1007/s10958-023-06440-y

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