A Note on Stability of an Operator Linear Equation of the Second Order
We prove some Hyers-Ulam stability results for an operator linear equation of the second order that is patterned on the difference equation, which defines the Lucas sequences (and in particular the Fibonacci numbers). In this way, we obtain several results on stability of some linear functional and...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2011-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2011/602713 |
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| _version_ | 1832568097883553792 |
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| author | Janusz Brzdȩk Soon-Mo Jung |
| author_facet | Janusz Brzdȩk Soon-Mo Jung |
| author_sort | Janusz Brzdȩk |
| collection | DOAJ |
| description | We prove some Hyers-Ulam stability results for an operator linear equation of the second order that is patterned on the difference equation, which defines the Lucas sequences (and in particular the Fibonacci numbers). In this way, we obtain several results on stability of some linear functional and differential and integral equations of the second order and some fixed point results for a particular (not necessarily linear) operator. |
| format | Article |
| id | doaj-art-ae61eaa9a6274e089ea0763518e20463 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-ae61eaa9a6274e089ea0763518e204632025-02-03T00:59:45ZengWileyAbstract and Applied Analysis1085-33751687-04092011-01-01201110.1155/2011/602713602713A Note on Stability of an Operator Linear Equation of the Second OrderJanusz Brzdȩk0Soon-Mo Jung1Department of Mathematics, Pedagogical University, Podchorążych 2, 30-084 Kraków, PolandMathematics Section, College of Science and Technology, Hongik University, Jochiwon 339-701, Republic of KoreaWe prove some Hyers-Ulam stability results for an operator linear equation of the second order that is patterned on the difference equation, which defines the Lucas sequences (and in particular the Fibonacci numbers). In this way, we obtain several results on stability of some linear functional and differential and integral equations of the second order and some fixed point results for a particular (not necessarily linear) operator.http://dx.doi.org/10.1155/2011/602713 |
| spellingShingle | Janusz Brzdȩk Soon-Mo Jung A Note on Stability of an Operator Linear Equation of the Second Order Abstract and Applied Analysis |
| title | A Note on Stability of an Operator Linear Equation of the Second Order |
| title_full | A Note on Stability of an Operator Linear Equation of the Second Order |
| title_fullStr | A Note on Stability of an Operator Linear Equation of the Second Order |
| title_full_unstemmed | A Note on Stability of an Operator Linear Equation of the Second Order |
| title_short | A Note on Stability of an Operator Linear Equation of the Second Order |
| title_sort | note on stability of an operator linear equation of the second order |
| url | http://dx.doi.org/10.1155/2011/602713 |
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