P-laplacian type problems on arbitrary time scale

In the classical sense, Sturm-Liouville equations, diffusion equations and the Dirac systems were studied by many mathematicians under different boundary conditions and significant results were obtained. In this thesis, p-Laplacian case of the Sturm-Liouville and diffusion equations and the Dirac system are described and investigated on the arbitrary time scale. Before this, basic definitions and theorems related to time scale are given, p-Laplacian type equations and generalized trigonometric functions are explained. In addition, the Picone correlation, which is an important correlation in spectral theory, has been obtained for Sturm- Liouville, Diffusion and Dirac boundary value problems.