Existence of Solutions for Boundary Value Problems with Nonlinear Delay

by Luo, Yu-chen

Abstract (Summary)
In this thesis, we consider the following delay boundary value problem egin{eqnarray*}(BVP)left{begin{array}{l}y'(t)+q(t)f(t,y(sigma(t)))=0, tin(0,1)/{ au}, y(t)=xi(t), tin[- au_{0},0], y(1)=0,end{array} right. end{eqnarray*}, where the functions f and q satisfy certain conditions; $sigma(t)leq t$ is a nonlinear real valued continuous function. We use two different methods to establish some existence criteria for the solution of problem (BVP). We generalize the delay term to a nonlinear function and obtain more general and supplementary results for the known ones about linear delay term due to Agarwal and O¡¦Regan [1] and Jiang and Xu [5].
Bibliographical Information:

Advisor:Tzon-Tzer Lu; Chun-Kong Law; Hsin-Jung Chen; Wei-Cheng Lian

School:National Sun Yat-Sen University

School Location:China - Taiwan

Source Type:Master's Thesis

Keywords:existence results fixed point theorem nonlinear delay singular boundary value problem


Date of Publication:07/05/2007

© 2009 All Rights Reserved.