Multipoint Nonlocal Problem for Ordinary Differential Equations

Boundary value problems with nonlocal boundary conditions have been considered in numerous investigations.In this thesis different approaches are analyzed by considering nonlocal boundary conditions of the solution of second order ordinary differential equations. For the existences and uniqueness of the solution the method of contraction mapping of the multipoint nonlocal problems is applied. The finite-difference analogue of the method is also discussed. Keywords: Boundary Value Problems , Second order ordinary differential equations, multipoint nonlocal condition.