%0 Journal Article
%T Second Order Periodic Boundary Value Problems Involving the Distributional Henstock-Kurzweil Integral
%A Xueyuan Zhou
%A Guoju Ye
%J Advances in Pure Mathematics
%P 330-336
%@ 2160-0384
%D 2012
%I Scientific Research Publishing
%R 10.4236/apm.2012.25046
%X We apply the distributional derivative to study the existence of solutions of the second order periodic boundary value problems involving the distributional Henstock-Kurzweil integral. The distributional Henstock-Kurzweil integral is a general intergral, which contains the Lebesgue and Henstock-Kurzweil integrals. And the distributional derivative includes ordinary derivatives and approximate derivatives. By using the method of upper and lower solutions and a fixed point theorem, we achieve some results which are the generalizations of some previous results in the literatures.
%K Periodic Boundary Value Problem
%K Distributional Henstock-Kurzweil Integral
%K Distributional Derivative
%K Existence
%K Upper and Lower Solutions
%K Fixed Point
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=22800