Hyers-Ulam stability for Gegenbauer differential equations
Using the power series method, we solve the non-homogeneous Gegenbauer differential equation $$ ( 1 - x^2 )y''(x) + n(n-1)y(x) = sum_{m=0}^infty a_m x^m. $$ Also we prove the Hyers-Ulam stability for the Gegenbauer differential equation.
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| Format: | Article |
| Language: | English |
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Texas State University
2013-07-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2013/156/abstr.html |
| _version_ | 1818210562563112960 |
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| author | Soon-Mo Jung |
| author_facet | Soon-Mo Jung |
| author_sort | Soon-Mo Jung |
| collection | DOAJ |
| description | Using the power series method, we solve the non-homogeneous Gegenbauer differential equation $$ ( 1 - x^2 )y''(x) + n(n-1)y(x) = sum_{m=0}^infty a_m x^m. $$ Also we prove the Hyers-Ulam stability for the Gegenbauer differential equation. |
| first_indexed | 2024-12-12T05:18:35Z |
| format | Article |
| id | doaj.art-c50639df4b0b48568a8876d1aa74c827 |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-12-12T05:18:35Z |
| publishDate | 2013-07-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-c50639df4b0b48568a8876d1aa74c8272022-12-22T00:36:42ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912013-07-012013156,18Hyers-Ulam stability for Gegenbauer differential equationsSoon-Mo JungUsing the power series method, we solve the non-homogeneous Gegenbauer differential equation $$ ( 1 - x^2 )y''(x) + n(n-1)y(x) = sum_{m=0}^infty a_m x^m. $$ Also we prove the Hyers-Ulam stability for the Gegenbauer differential equation.http://ejde.math.txstate.edu/Volumes/2013/156/abstr.htmlGegenbauer differential equationHyers-Ulam stabilitypower series methodsecond order differential equation |
| spellingShingle | Soon-Mo Jung Hyers-Ulam stability for Gegenbauer differential equations Electronic Journal of Differential Equations Gegenbauer differential equation Hyers-Ulam stability power series method second order differential equation |
| title | Hyers-Ulam stability for Gegenbauer differential equations |
| title_full | Hyers-Ulam stability for Gegenbauer differential equations |
| title_fullStr | Hyers-Ulam stability for Gegenbauer differential equations |
| title_full_unstemmed | Hyers-Ulam stability for Gegenbauer differential equations |
| title_short | Hyers-Ulam stability for Gegenbauer differential equations |
| title_sort | hyers ulam stability for gegenbauer differential equations |
| topic | Gegenbauer differential equation Hyers-Ulam stability power series method second order differential equation |
| url | http://ejde.math.txstate.edu/Volumes/2013/156/abstr.html |
| work_keys_str_mv | AT soonmojung hyersulamstabilityforgegenbauerdifferentialequations |