Classical stabilities of an inverse fourth power functional equation

Abstract

The analysis of stability results of different multiplicative inverse functional equations is an emerging trend in the research field of fundamental stability of equations emanated through the query of Ulam. This paper focuses on proving various classical stabilities of a new inverse fourth power functional equation connected with stability problems in the setting of fields that do not satisfy Archimedean property. The solution of the equation dealt in this study is interpreted with the intensity of scattered light and decay of radar energy in physics.

Subject Classification: (2010):

• 39B82
• 39B72

Keywords:

• Reciprocal functional equation
• Quartic functional equation
• Ulam-Hyers stability
• non-Archimedean field