Modelling the Additive Functional Equations through RSM Matrices

Journal Title: JOURNAL OF ADVANCES IN MATHEMATICS - Year 2016, Vol 12, Issue 10

Abstract

This paper suggests one possible method to model additive type of functional equations using eigenvalues and eigenvectors of matrices with suitable numerical examples. The authors have defined a new type of Row Sum Matrix(RSM) and have discussed its eigenvalues and eigenvectors in order to model functional equations. The famous additive cauchy functional equation and Logical functional equation have also been modelled using identity matrix and Logical matrix in this study.

Authors and Affiliations

Pasupathi Narasimman, K Ravi, Sandra Pinelas

Keywords

Related Articles

Traveling solitary wave solutions for the symmetric regularized long-wave equation

In this paper, we employ the extended tanh function method to nd the exact traveling wave solutions involving parameters of the symmetric regularized long- wave equation. When these parameters are taken to be s...

The Resultant formula of Masses m_1/m_2,..., m_n in Space oxyz at a Point

In this paper, the formula of the contact resultant for masses (m-1,m-2,...,m-n) in space(oxyz) is calculated and proved. Regarding the importance of masses movement in space and their contact with each other, it is felt...

On Full k-ideals of a Ternary Semiring

In this paper, we generalize the concept of the full -ideals of a semiring to ternary semiring and prove that the set of zeroids annihilator of a right ternary semimodule, and the Jacobson radical of a ternary semiring a...

Harmonic Matrix and Harmonic Energy

We define the Harmonic energy as the sum of the absolute values of the eigenvalues of the Harmonic matrix, and establish some of its properties, in particular lower and upper bounds for it.

ALGEBRAIC PROOFS FERMAT'S LAST THEOREM, BEAL'S CONJECTURE

In this paper, the following statememt of Fermat's Last Theorem is proved. If x; y; z are positive integers, _ is an odd prime and z_ = x_ + y_; then x; y; z are all even. Also, in this paper, is proved Beal's conjecture...

Download PDF file
  • EP ID EP651700
  • DOI 10.24297/jam.v12i10.117
  • Views 151
  • Downloads 0

How To Cite

Pasupathi Narasimman, K Ravi, Sandra Pinelas (2016). Modelling the Additive Functional Equations through RSM Matrices. JOURNAL OF ADVANCES IN MATHEMATICS, 12(10), 6714-6719. https://europub.co.uk/articles/-A-651700