Some inverse problems for differential equations and functional equations

This thesis consists of four chapters. In the first chapter of this thesis, some basic definitions and theorems which are necessary in the subsequent chapters are given. In the second chapter, we consider some inverse problems for systems of nonlinear evolution equations that are used to describe many complex phenomena arising in science and engineering. In the third chapter, we consider a nonlinear problem for the functional equation with a parameter. In the last chapter, we discuss some methods for constructing solutions to linear functional equations and present their applications to inverse problems for a differential-difference equations. In this context, the papers by Anikonov et al. (2016), Anikonov (2012) and Anikonov (2017) are examined.