Boundary Value Problems
Volume 2006 (2006), Article ID 23092, 15 pages

Second-order differential equations with deviating arguments

T. Jankowski and W. Szatanik

Department of Differential Equations, Gdansk University of Technology, 11/12 G. Narutowicz Street, Gdańsk 80-952, Poland

Received 2 May 2006; Revised 22 May 2006; Accepted 28 May 2006

Copyright © 2006 T. Jankowski and W. Szatanik. 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.


This paper deals with boundary value problems for second-order differential equations with deviating arguments. Some sufficient conditions are formulated under which such problems have quasisolutions or a unique solution. A monotone iterative method is used. Examples with numerical results are added to illustrate the results obtained.