Note on the stability of first order linear differential equations
In this paper, we will prove the generalized Hyers-Ulam stability of the linear differential equation of the form \(y'(x)+f(x)y(x)+g(x)=0\) under some additional conditions.
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| Format: | Article |
| Language: | English |
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AGH Univeristy of Science and Technology Press
2012-01-01
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| Series: | Opuscula Mathematica |
| Subjects: | |
| Online Access: | http://www.opuscula.agh.edu.pl/vol32/1/art/opuscula_math_3205.pdf |
| _version_ | 1811235040387923968 |
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| author | Florin Bojor |
| author_facet | Florin Bojor |
| author_sort | Florin Bojor |
| collection | DOAJ |
| description | In this paper, we will prove the generalized Hyers-Ulam stability of the linear differential equation of the form \(y'(x)+f(x)y(x)+g(x)=0\) under some additional conditions. |
| first_indexed | 2024-04-12T11:45:34Z |
| format | Article |
| id | doaj.art-d694627d84874a918fbaa743096af84b |
| institution | Directory Open Access Journal |
| issn | 1232-9274 |
| language | English |
| last_indexed | 2024-04-12T11:45:34Z |
| publishDate | 2012-01-01 |
| publisher | AGH Univeristy of Science and Technology Press |
| record_format | Article |
| series | Opuscula Mathematica |
| spelling | doaj.art-d694627d84874a918fbaa743096af84b2022-12-22T03:34:22ZengAGH Univeristy of Science and Technology PressOpuscula Mathematica1232-92742012-01-013216774http://dx.doi.org/10.7494/OpMath.2012.32.1.673205Note on the stability of first order linear differential equationsFlorin Bojor0North University of Baia Mare, Faculty of Sciences, Department of Mathematics and Computer Sciences, Str. Victoriei, nr. 76, 430122 Baia Mare, Romania In this paper, we will prove the generalized Hyers-Ulam stability of the linear differential equation of the form \(y'(x)+f(x)y(x)+g(x)=0\) under some additional conditions.http://www.opuscula.agh.edu.pl/vol32/1/art/opuscula_math_3205.pdffixed point methoddifferential equationHyers-Ulam stability |
| spellingShingle | Florin Bojor Note on the stability of first order linear differential equations Opuscula Mathematica fixed point method differential equation Hyers-Ulam stability |
| title | Note on the stability of first order linear differential equations |
| title_full | Note on the stability of first order linear differential equations |
| title_fullStr | Note on the stability of first order linear differential equations |
| title_full_unstemmed | Note on the stability of first order linear differential equations |
| title_short | Note on the stability of first order linear differential equations |
| title_sort | note on the stability of first order linear differential equations |
| topic | fixed point method differential equation Hyers-Ulam stability |
| url | http://www.opuscula.agh.edu.pl/vol32/1/art/opuscula_math_3205.pdf |
| work_keys_str_mv | AT florinbojor noteonthestabilityoffirstorderlineardifferentialequations |