S. Leela, “Monotone Method for Second Order Periodic Boundry Value Problems,” Nonlinear Analysis, Vol. 7, No. 4, 1983, pp. 349-355. doi:10.1016/0362-546X(83)90088-3

has been cited by the following article:

• TITLE: Second Order Periodic Boundary Value Problems Involving the Distributional Henstock-Kurzweil Integral

  AUTHORS: Xueyuan Zhou, Guoju Ye

  KEYWORDS: Periodic Boundary Value Problem; Distributional Henstock-Kurzweil Integral; Distributional Derivative; Existence; Upper and Lower Solutions; Fixed Point

  JOURNAL NAME: Advances in Pure Mathematics, Vol.2 No.5, September 26, 2012

  ABSTRACT: 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.