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Boundary Value Problems

Boundary Value Problems Cover Image
Research Article
Open Access

Second-order differential equations with deviating arguments

Boundary Value Problems20062006:23092

https://doi.org/10.1155/BVP/2006/23092

©  Jankowski and Szatanik 2006

Received: 2 May 2006

Accepted: 28 May 2006

Published: 19 December 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.

Keywords

Differential EquationPartial Differential EquationUnique SolutionOrdinary Differential EquationFunctional Equation

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Authors’ Affiliations

(1)
Department of Differential Equations, Gdansk University of Technology, Gdańsk, Poland

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Copyright

© Jankowski and Szatanik 2006

This article is published under license to BioMed Central Ltd. 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.