Journal of Applied Mathematics and Stochastic Analysis
Volume 9 (1996), Issue 1, Pages 11-20
Periodic solutions of quasi-differential equations
1University of Tlemcen, Department of Mathematics, BP 119, Tlemcen 13000, Algeria
2Universidad de Santiago de Compostela, Departamento de Análisis Matematico, Facultad de Matemáticas, Spain
Received 1 January 1995; Revised 1 December 1995
Copyright © 1996 Abdelkader Boucherif et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Existence principles and theorems are established for the nonlinear problem
where is a quasi-differential operator and is a
Carathéodory function. We prove a maximum principle for the operator and
then we show the validity of the upper and lower solution method as well as the monotone iterative technique.