APPLICATIONS OF FIXED POINT THEOREMS TO INTEGRAL BOUNDARY VALUE PROBLEMS
Project no. 23809 · Status: Kapanmış · 2022
Summary
<p>This project consists of three main parts, including the introduction part.</p><p>In the first chapter, informations about integral boundary value problems are given, the subject of the project and the motivated problems are introduced.</p><p>In the second chapter, the basic information that will be used in the third part is given.</p><p>In the third chapter, the existence and uniqueness results of solutions of the nonlinear integral boundary value problem are analyzed. The main methods used in this project are the Schaefer fixed point theorem, the Banach fixed point theorem and the Guo-Krasnoselskii fixed point theorem. In addition, examples of the results obtained are given.</p><p>In the fourth chapter, the results obtained from the project are presented. </p>