Continuous dependence of solutions of partial differential equations

Keywords: Continuous Dependence, Suspension Bridge Equation In this paper, the continuous dependence of the solutions of partial differential equations to the coefficients is discussed. In the first part of this study consisting of 6 chapters, information about previous studies on partial differential equations is given. In the second chapter, the basic definitions and concepts used in this thesis are given. In the third chapter, the article "On continuous dependence on coefficients of the Brinkman Forchheimer equations", written by A.O. Celebi, V.K. Kalantarov, D. Ugurlu, was examined. In the fourth chapter, the article "Structural stability for Fitzhugh-Nagumo equations" written by G.N. Aliyeva and V.K. Kalantarov was examined. In the fifth part, continuous dependence on the coefficients of the solutions of the Suspension bridge equation, which has not been studied before, has been examined in detail.