About the Local Stability of the Four Cauchy Equations Restricted on a Bounded Domain and of Their Pexiderized Forms

The Ulam-Hyers stability of functional equations is widely studied from various points of view by many authors. The present paper is concerned with local stability of the four Cauchy equations restricted on a bounded domain. These results can be easily adapted to the corresponding Pexiderized equati...

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Main Author: Fulvia Skof
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/380743
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author Fulvia Skof
author_facet Fulvia Skof
author_sort Fulvia Skof
collection DOAJ
description The Ulam-Hyers stability of functional equations is widely studied from various points of view by many authors. The present paper is concerned with local stability of the four Cauchy equations restricted on a bounded domain. These results can be easily adapted to the corresponding Pexiderized equations.
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publishDate 2013-01-01
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spelling doaj-art-dc82e03d89c0422887bd91c97f9ac1602025-08-20T02:21:37ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/380743380743About the Local Stability of the Four Cauchy Equations Restricted on a Bounded Domain and of Their Pexiderized FormsFulvia Skof0Dipartimento di Matematica, Università di Torino, Via Carlo Alberto 10, 10123 Torino, ItalyThe Ulam-Hyers stability of functional equations is widely studied from various points of view by many authors. The present paper is concerned with local stability of the four Cauchy equations restricted on a bounded domain. These results can be easily adapted to the corresponding Pexiderized equations.http://dx.doi.org/10.1155/2013/380743
spellingShingle Fulvia Skof
About the Local Stability of the Four Cauchy Equations Restricted on a Bounded Domain and of Their Pexiderized Forms
Abstract and Applied Analysis
title About the Local Stability of the Four Cauchy Equations Restricted on a Bounded Domain and of Their Pexiderized Forms
title_full About the Local Stability of the Four Cauchy Equations Restricted on a Bounded Domain and of Their Pexiderized Forms
title_fullStr About the Local Stability of the Four Cauchy Equations Restricted on a Bounded Domain and of Their Pexiderized Forms
title_full_unstemmed About the Local Stability of the Four Cauchy Equations Restricted on a Bounded Domain and of Their Pexiderized Forms
title_short About the Local Stability of the Four Cauchy Equations Restricted on a Bounded Domain and of Their Pexiderized Forms
title_sort about the local stability of the four cauchy equations restricted on a bounded domain and of their pexiderized forms
url http://dx.doi.org/10.1155/2013/380743
work_keys_str_mv AT fulviaskof aboutthelocalstabilityofthefourcauchyequationsrestrictedonaboundeddomainandoftheirpexiderizedforms