A New Method to Modelling the Additive Functional Equations

Authors

P. Narasimman, Department of Mathematics, Thiruvalluvar University College of Arts and Science, Gazhalnayaganpatti, Tirupattur-635 901, TamilNadu, IndiaFollow
R. Amuda, Department of Mathematics, Jeppiaar Institute of Technology, Kunnam, Sriperumbudur, Chennai-631 604, TamilNadu, IndiaFollow

Author Country (or Countries)

India

Abstract

This paper elucidates a possible method to model additive type of functional equations using eigenvalues and eigenvectors of matrices with suitable numerical examples. In order to model a functional equation the author has defined a new type of Consecutive Column Matrix(CCM) and discussed its eigenvalues and eigenvectors. The author has also modelled a famous additive Cauchy functional equation using identity matrix.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/100322

Recommended Citation

Narasimman, P. and Amuda, R. (2016) "A New Method to Modelling the Additive Functional Equations," Applied Mathematics & Information Sciences: Vol. 10: Iss. 3, Article 22.
DOI: http://dx.doi.org/10.18576/amis/100322
Available at: https://digitalcommons.aaru.edu.jo/amis/vol10/iss3/22