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

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. © 2023, The Author(s), under exclusive licence to Springer Nature Switzerland AG.