Hyers–Ulam Stability for a First-Order Linear Proportional Nabla Difference Operator

Douglas R. Anderson ()
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Douglas R. Anderson: Department of Mathematics, Concordia College

A chapter in Frontiers in Functional Equations and Analytic Inequalities, 2019, pp 255-272 from Springer

Abstract: Abstract The Hyers–Ulam stability (HUS) of a certain first-order proportional nabla difference equation with a sign-alternating coefficient is established. For those parameter values for which HUS holds, an HUS constant is found, and in special cases it is shown that this is the minimal such constant possible. A 2-cycle solution and a 4-cycle solution are shown to not have HUS.

Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-030-28950-8_15

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DOI: 10.1007/978-3-030-28950-8_15

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