Материалы международной научной конференции «Уфимская осенняя математическая школа» (г. Уфа, 28 сентября – 1 октября 2022 г.). Том 2 / отв. редактор З.Ю. Фазуллин. - Уфа: РИЦ БашГУ, 2022. - 472 с.
INVERSE PROBLEMS FOR THE GENERALIZED KAWAHARA EQUATION
INVERSE PROBLEMS FOR THE GENERALIZED KAWAHARA EQUATION
In this research we study the inverse problems for the generalized form
of Kawahara equation as well as its linearized analog in a bounded
domain with integral overdetermination. As the control function we
consider either a special form of the right-hand side of the equation
or the value of the derivative of the solution on one of the boundaries.
In order to achieve the controllability of the generalized Kawahara
equation we impose smallness conditions on either the time interval
or the input data. Those restrictions are absent in linear case