Abstract:
Direct and inverse initial-boundary problems on a bounded interval for systems of odd order quasilinear evolution equations with general nonlinearities are considered. In the case of inverse problems conditions of integral overdetermination are introduced and right-hand sides of equations of special types are chosen as controls. Results on well-posedness of such problems are established. Assumptions on smallness of the input data or smallness of a time interval are required.
Keywords and phrases:initial-boundary value problem, inverse problem, system of quasilinear evolution equations, odd order.
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