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Hyperbolic harmonic functions and the associated integral equations Cover
Open Access
|Dec 2015

Abstract

In this paper we consider a class of integral equations associated with the invariant mean value property of hyperbolic harmonic functions. We have shown that nonconstant solutions of these integral equations are functions of unbounded variations and do not attain their supremum or infimum on [0; 1): We present an algorithm to obtain numerical solutions of these integral equations. We also consider the equivalent ordinary differential equations and used MATLAB to obtain numerical solutions of these differential equations.

DOI: https://doi.org/10.1515/awutm-2015-0003 | Journal eISSN: 1841-3307 | Journal ISSN: 1841-3293
Language: English
Page range: 37 - 56
Submitted on: Sep 9, 2014
Accepted on: Jul 5, 2015
Published on: Dec 12, 2015
Published by: West University of Timisoara
In partnership with: Paradigm Publishing Services
Publication frequency: Volume open

© 2015 Namita Das, Rajendra Prasad Lal, published by West University of Timisoara
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.