Document Details Document Type : Thesis  Document Title : ONOTONE INTERATIVE METHOD FOR IMPULSIVE THREE POINT PROBLEM طرية تكرارية مطردة لمسائل ثلاثية النقاط نبضية   Subject : Mathematics  Document Language : Arabic  Abstract : In this thesis, we discuss the monotone iterative method for nonlinear three-point boundary value problems with and without impulse effects. As a first problem, we apply the method of upper and lower solutions together with monotone iterative technique to generate a sequence of iterates converging quadratically to the unique solution of a second order nonlinear three-point boundary value problem. The convexity and concavity assumptions on the nonlinearities involved in the problem are relaxed and it has been shown that the nonlinearities in the boundary conditions can be handled on the pattern similar to the one used in tackling the nonlinearity involved in the differential equation. As a second problem, we develop the generalized quasilinearization technique for an impulsive hybrid general three-point boundary value problem and obtain sequences of approximate solutions converging monotonically and quadratically to the unique solution of the problem. It has been found that several interesting results can be recorded as a special case of the work established in this thesis  Supervisor : Dr. Bashir Ahamd Faquer  Thesis Type : Master Thesis  Publishing Year : 1428 AH 2007 AD  Co-Supervisor : Dr. Ahmed Eid Al-saedi  Added Date : Wednesday, June 11, 2008  Researchers Researcher Name (Arabic) Researcher Name (English) Researcher Type Dr Grade Email دعاء عبدالرؤوف قاروت Qarot, Doaa Abdul Raouf Researcher Master   Files File Name Type Description  23718.pdf pdf المستخلص  23719.pdf pdf Abstract Back To Researches Page