Exponential growth of solution for a system of a parabolic type equation

The first section of this thesis provides fundamental information and examples concerning the exponential growth of solutions. In the second chapter, the problems that form the main part of the thesis are introduced. Later, literature information is given. In the third chapter, some fundamental definitions, theorems and inequalities that will be used in the next chapter are given. In the first part of the fourth section, solutions of the parabolic type viscoelastic Kirchhoff equation system have been studied, while in the second part, solutions with exponential growth for the parabolic type m-Laplacian equation with Kirchhoff term have been investigated.