Boundary Value Problems 
Volume 2006 (2006), Article ID 23092, 15 pages
doi:10.1155/BVP/2006/23092

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

Abstract

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.