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Second-order differential equations with deviating arguments

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.

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Correspondence to T Jankowski.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License (https://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Jankowski, T., Szatanik, W. Second-order differential equations with deviating arguments. Bound Value Probl 2006, 23092 (2006). https://doi.org/10.1155/BVP/2006/23092

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Keywords

  • Differential Equation
  • Partial Differential Equation
  • Unique Solution
  • Ordinary Differential Equation
  • Functional Equation