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 |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2013/156/abstr.html |
| Summary: | 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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| ISSN: | 1072-6691 |