Continuous dependence on coefficients of some type of initial boundary value problems

In the first part of this thesis, the studies on the existence of global, local and weak solutions of the problems which are examined in this thesis have been dealt with in the historical development. In addition, studies related to the subject of continuous dependence are placed within this part. In the second chapter of this thesis, this chapter provides basic definitions and inequalities that will be used throughout the thesis. In the third chapter of this thesis, the continuous dependence of the solutions of the initial and boundary values of the Klein-Gordon equation, which includes nonlinear damping, and source terms, to the coefficients of the problem are taken as the base of the study. In the fourth chapter of this thesis, the continuous dependence of the solutions of the double dispersive wave equation, which contains the dissipative term, to the coefficients of the problem has been studied. Standard energy method has been applied in the study for the examined problems.