Studying of boundary value problems

This thesis is consists of six chapters.In the first chapter, it is mentioned about the using areas of differential equations and there is an introduction to the thesis. Furthermore, it is discussed about the first study of the Boundary Value Problem.In the second chapter, main definitions and concepts used in the thesis are given.In the third chapter, one-dimensional Boundary Value Problems are examined and investigated the uniqueness and existence of the solutions.In the fourth chapter, two-dimensional Boundary Value Problems are inspected and some properties related with Green?s functions are given.In the fifth chapter, a special Boundary Value Problem called Sturm-Liouville problem are mentioned. By given the properties of this function, eigenvalue and eigenfunction are investigated. Some special functions which related with this problem are examined. Finally with these datas Sturm-Liouville theorems are proved.Finally in the sixth chapter, the results are stated gained through the study of thesis.