Functional Equation f(x)=pf(x−1)−qf(x−2) and Its Hyers-Ulam Stability

Functional Equation f(x)=pf(x−1)−qf(x−2) and Its Hyers-Ulam Stability

We solve the functional equation, f(x)=pf(x−1)−qf(x−2), and prove its Hyers-Ulam stability in the class of functions f:ℝ→X, where X is a real (or complex) Banach space.

Bibliographic Details
Main Author: Soon-Mo Jung
Format: Article
Language:English
Published: SpringerOpen 2009-01-01
Series:Journal of Inequalities and Applications
Online Access:http://dx.doi.org/10.1155/2009/181678
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spelling doaj-f389a74122a34d0f880fccb27f191fa52020-11-24T21:54:21ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2009-01-01200910.1155/2009/181678Functional Equation f(x)=pf(x−1)−qf(x−2) and Its Hyers-Ulam StabilitySoon-Mo JungWe solve the functional equation, f(x)=pf(x−1)−qf(x−2), and prove its Hyers-Ulam stability in the class of functions f:ℝ→X, where X is a real (or complex) Banach space. http://dx.doi.org/10.1155/2009/181678
collection DOAJ
language English
format Article
sources DOAJ
author Soon-Mo Jung
spellingShingle Soon-Mo Jung
Functional Equation f(x)=pf(x−1)−qf(x−2) and Its Hyers-Ulam Stability
Journal of Inequalities and Applications
author_facet Soon-Mo Jung
author_sort Soon-Mo Jung
title Functional Equation f(x)=pf(x−1)−qf(x−2) and Its Hyers-Ulam Stability
title_short Functional Equation f(x)=pf(x−1)−qf(x−2) and Its Hyers-Ulam Stability
title_full Functional Equation f(x)=pf(x−1)−qf(x−2) and Its Hyers-Ulam Stability
title_fullStr Functional Equation f(x)=pf(x−1)−qf(x−2) and Its Hyers-Ulam Stability
title_full_unstemmed Functional Equation f(x)=pf(x−1)−qf(x−2) and Its Hyers-Ulam Stability
title_sort functional equation f(x)=pf(x−1)−qf(x−2) and its hyers-ulam stability
publisher SpringerOpen
series Journal of Inequalities and Applications
issn 1025-5834
1029-242X
publishDate 2009-01-01
description We solve the functional equation, f(x)=pf(x−1)−qf(x−2), and prove its Hyers-Ulam stability in the class of functions f:ℝ→X, where X is a real (or complex) Banach space.
url http://dx.doi.org/10.1155/2009/181678
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