The objective of the thesis is to develop the iterative method and combining it with other methods to study qualitative and especially the method of solving some two-point boundary problems for the fourth-order differential equations and systems, arising in beam bending theory without using condition of growth rate at infinity, Nagumo condition, etc. of the right-hand side function. | MINISTRY OF EDUCATION VIETNAM ACADEMY OF AND TRAINING SCIENCE AND ECHNOLOGY GRADUATE UNIVERSITY OF SCIENCE AND TECHNOLOGY . . NGÔ THỊ KIM QUY ITERATIVE METHOD FOR SOLVING TWO-POINT BOUNDARY VALUE PROBLEMS FOR FOURTH ORDER DIFFERENTIAL EQUATIONS AND SYSTEMS Major Applied Mathematics Code 62 46 01 12 SUMMARY OF MATHEMATICS DOCTORAL THESIS Hanoi 2017 This thesis was completed at Graduate University of Science and Technology Vietnam Academy of Science and Technology Supervisor 1 Prof. Dr. Dang Quang A Supervisor 2 Assoc. Prof. Dr. Ha Tien Ngoan Reviewer 1 Reviewer 2 Reviewer 3 . The Dissertation will be officially presented in front of the Doctoral Dissertation Grading Committee meating at Graduate University of Science and Technology Vietnam Academy of Science and Technology At . 201 The Dissertation is avaiable at 1. Library of Graduate University of Science and Technology 2. National Library of Vietnam INTRODUCTION 1. Motivation of the thesis Many problems in physics mechanics and some other fields are described by differential equations or systems of differential equations with different bound- ary conditions. It is possible to classify the fourth-order differential equations into two forms fully fourth-order differential equations and non-fully fourth- order ones. A fourth-order differential equation whose right-hand side function contains an unknown function and its derivatives of all order from first to third order is called a fully fourth-order differential equation. Otherwise the equation is called a non-fully fourth-order differential equation. The boundary value problems for differential equations have attracted the attention of scientists such as Alve Amster Bai Li Ma Feng Minh os etc. Some Vietnamese mathematicians and mechanics namely Dang Quang A Pham Ky Anh Nguyen Van Dao Nguyen Dong Anh Le Xuan Can Nguyen Huu Cong Le Luong Tai etc. also studied methods for solving the boundary value problems for differential equations. Among the .
