Control of Kawahara equation with overdetermination condition: The unbounded cases

In this manuscript, we consider the internal control problem for fifth-order KdV type equation, commonly called Kawahara on unbounded domains. Precisely, under certain hypotheses over initial and boundary data, can prove that there exists an input such solutions of equation satisfy integral overdetermination condition. This condition is satisfied when domain posed in real line, left half-line, right half-line. Moreover, are also able to a minimal time which satisfied. Finally, show exact controllability associated with “mass”