INVERSE INITIAL-BOUNDARY VALUE PROBLEM FOR A SYSTEM OF ODD-ORDER QUASILINEAR EVOLUTION EQUATIONS

We consider and inverse initial-boundary value problem on a bounded interval for a system of odd-order quasilinear evolution equations. We choose integral conditions as overdeterminations, and the controls are boundary functions and right-hand sides of equations of a special type. We prove the existence and uniqueness of solution for small initial data or a small time interval. © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2025.