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Boundary Value Problems
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On delay differential equations with nonlinear boundary conditions

Boundary Value Problems volume 2005, Article number: 713031 (2005) Cite this article

Abstract

The monotone iterative method is used to obtain sufficient conditions which guarantee that a delay differential equation with a nonlinear boundary condition has quasisolutions, extremal solutions, or a unique solution. Such results are obtained using techniques of weakly coupled lower and upper solutions or lower and upper solutions. Corresponding results are also obtained for such problems with more delayed arguments. Some new interesting results are also formulated for delay differential inequalities.

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  1. Department of Differential Equations, Gdańsk University of Technology, 11/12 Gabriela Narutowicza Street, Gdańsk, 80-952, Poland

    Tadeusz Jankowski

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  1. Tadeusz Jankowski
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Correspondence to Tadeusz 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. On delay differential equations with nonlinear boundary conditions. Bound Value Probl 2005, 713031 (2005). https://doi.org/10.1155/BVP.2005.201

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  • DOI: https://doi.org/10.1155/BVP.2005.201