Some remarks on the monotone iterative technique

Authors

  • Adriana Buică “Babes-Bolyai” University, Cluj-Napoca, Romania

DOI:

https://doi.org/10.33993/jnaat312-718

Keywords:

coincidence operator equation, monotone iterations, boundary value problem
Abstract views: 217

Abstract

We consider an abstract operator equation in coincidence form Lu=N(u) and establish some comparison results and existence results via the monotone iterative technique. We use a generalized iteration method developed by Carl-Heikkila (1999). An application to a boundary value problem for a second-order functional differential equation is considered.

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References

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Published

2002-08-01

Issue

Vol. 31 No. 2 (2002)

Section

Articles

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Copyright (c) 2015 Journal of Numerical Analysis and Approximation Theory

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Open Access. This article is distributed under the terms of the Creative Commons Attribution 4.0 International License, which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.

How to Cite

Buică, A. (2002). Some remarks on the monotone iterative technique. Rev. Anal. Numér. Théor. Approx., 31(2), 143-151. https://doi.org/10.33993/jnaat312-718