الملخص الإنجليزي
This thesis deals with the mathematical and numerical analysis of nonlinear two-point boundary value problems of the form
I (-pu)' + (x, u) = 0, a<x< b (a) = a, u(b) = B The existence of a unique solution is investigated under various assumptions on the nonlinearity f, where the Banach's and Schauder's fixed point theorems are used. The discretization by finite difference methods with both uniform and nonuniform meshes is also studied and existence of a discrete solution as well as error estimates is proved.
