Open AccessHYERS-ULAM STABILITY OF FIRST ORDER LINEAR DIFFERENCE OPERATORS ON BANACH SPACE
Author(s) -
Arun Kumar Tripathy,
Pragnya Senapati
Publication year - 2018
Publication title -
journal of advances in mathematics
Language(s) - English
Resource type - Journals
ISSN - 2347-1921
DOI - 10.24297/jam.v14i1.7062
Subject(s) - mathematics , banach space , order (exchange) , linear operators , stability (learning theory) , pure mathematics , sequence (biology) , operator (biology) , c0 semigroup , space (punctuation) , sequence space , discrete mathematics , mathematical analysis , biochemistry , chemistry , finance , repressor , machine learning , biology , computer science , transcription factor , gene , economics , bounded function , genetics , linguistics , philosophy
In this work, the Hyers-Ulam stability of first order linear difference operator TP defined by
(Tpu)(n) = ∆u(n) - p(n)u(n);
is studied on the Banach space X = l∞, where p(n) is a sequence of reals.