Generalized Hyers-Ulam Stability of a System of Bi-Reciprocal Functional Equations

Authors

  • K. Ravi
  • Senthil Kumar Department of Mathematics, C. Abdul Hakeem College of Engg & Tech., Melvisharam 632 509. Tamilnadu. India.

Keywords:

Reciprocal function, Bi-reciprocal functional equation, Generalized Hyers-Ulam stability.

Abstract

In this paper, we nd the generalized Hyers-Ulam stability of the
system of bi-reciprocal functional equations
r(x + u, y) = r(x, y)r(u, y)/[r(x, y) + r(u, y)];
r(x, y + v) = r(x, y)r(x, v)/[r(x, y) + r(x, v)]
in Frechet spaces.

Downloads

Published

2015-04-30

Issue

Vol. 8 No. 2: (April 2015)

Section

Differential Equations

License

Upon acceptance of an article by the European Journal of Pure and Applied Mathematics, the author(s) retain the copyright to the article. However, by submitting your work, you agree that the article will be published under the Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0). This license allows others to copy, distribute, and adapt your work, provided proper attribution is given to the original author(s) and source. However, the work cannot be used for commercial purposes.

By agreeing to this statement, you acknowledge that:

  • You retain full copyright over your work.
  • The European Journal of Pure and Applied Mathematics will publish your work under the Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0).
  • This license allows others to use and share your work for non-commercial purposes, provided they give appropriate credit to the original author(s) and source.

How to Cite

Generalized Hyers-Ulam Stability of a System of Bi-Reciprocal Functional Equations. (2015). European Journal of Pure and Applied Mathematics, 8(2), 283-293. https://www.ejpam.com/index.php/ejpam/article/view/2337