Bulletin of Pure & Applied Sciences- Mathematics and Statistics
  • Year: 2018
  • Volume: 37e
  • Issue: 2

Non-archimedean stability and non-stability of quadratic reciprocal functional equation in several variables

1Department of Mathematics, Deenbandhu Chhotu Ram University of Science and Technology (DCRUST), Sonepat, Haryana, 131039, India. E-mail: nawneethooda@gmail.com

2Kanya Mahavidyalaya, Kharkhoda, Sonepat, Haryana, 131402, India. E-mail: s_saroha30@yahoo.com

*Corresponding Author: Nawneet Hooda, Department of Mathematics, Deenbandhu Chhotu Ram University of Science and Technology (DCRUST), Sonepat, Haryana, 131039, India. E-mail: nawneethooda@gmail.com

2010 Mathematical Subject Classification-39B72, 39B82.

Abstract

In this paper, we prove the stability of quadratic reciprocal functional equation in several variables of the type

(where k is a positive integer greater than 2) in non-Archimedean fields. We also provide counter examples for singular cases for stability in non-Archimedean fields.

Keywords

Generalised Hyers-Ulam stability, quadratic reciprocal functional equation, non-Archimedean fields