Boundary Value Problems
Volume 2006 (2006), Article ID 23092, 15 pages
Second-order differential equations with deviating arguments
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.