p-Laplacian diferensiyel operatörler için ters nodal problem

In this thesis, we have studied on p-Laplacian differential operators. The thesis contains five main sections. In section 1, historical improvement of inverse spectral theory and p-Laplacian differential operators is given. Then, the fundamental definitions and theorems related to our thesis and some properties of generalized trigonometric functions are expressed in section 2. In section 3, p-Laplacian diffusion equation with boundary conditions which depends on spectral parameter polynomially is considered. By using generalized Prüfer substitution, asymptotic formulas of eigenparameters and reconstruction formulas for potential functions are obtained. In section 4, p-Laplacian Bessel equation where the boundary conditions have polynomially dependent spectral parameter is considered. Later, inverse nodal problem for this equation is solved by using generalized Prüfer substitution. Finally, some conclusions about thesis are expressed in section 5