HYERS-ULAM STABILITY OF FIRST ORDER LINEAR DIFFERENCE OPERATORS ON BANACH SPACE: HYERS-ULAM STABILITY OF  LINEAR DIFFERENCE OPERATORS

Arun Kumar Tripathy; Pragnya Senapati

doi:10.24297/jam.v14i1.7062

Authors

Arun Kumar Tripathy Sambalpur University
Pragnya Senapati Sambalpur University

DOI:

https://doi.org/10.24297/jam.v14i1.7062

Keywords:

Difference equation, Hyers-Ulam stability

Abstract

In this work, the Hyers-Ulam stability of first order linear difference operator T_P defined by

(T_pu)(n) = âˆ†u(n) - p(n)u(n);

is studied on the Banach space X = l_âˆž, where p(n) is a sequence of reals.

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