Stabilities and non-stabilities of the reciprocal-nonic and the reciprocal-decic functional equations
Abasalt Bodaghi, Beri Venkatachalapathy Senthil Kumar, John Michael, Rassias
TL;DR
This paper investigates the stability properties of reciprocal-nonic and reciprocal-decic functional equations within non-Archimedean fields, providing conditions for stability and examples demonstrating their non-stability.
Contribution
It offers new stability results for these specific functional equations in non-Archimedean contexts and illustrates cases where stability does not hold.
Findings
Stability conditions for reciprocal-nonic equations established.
Non-stability examples provided for reciprocal-decic equations.
Results extend understanding of functional equation stability in non-Archimedean fields.
Abstract
This paper focuses at the various stability results of reciprocal-nonic and reciprocal-decic functional equations in non-Archimedes fields and illustrations of the proper examples for their non-stabilities.
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Taxonomy
TopicsFunctional Equations Stability Results · Mathematical and Theoretical Analysis