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HYERS-ULAM STABILITY FOR GEGENBAUER DIFFERENTIAL EQUATIONS
- Authors
- Jung, Soon-Mo
- Issue Date
- Jul-2013
- Publisher
- TEXAS STATE UNIV
- Keywords
- Gegenbauer differential equation; Hyers-Ulam stability; power series method; second order differential equation
- Citation
- ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, v.2013, pp.1 - 8
- Journal Title
- ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS
- Volume
- 2013
- Start Page
- 1
- End Page
- 8
- ISSN
- 1072-6691
- Abstract
- Using the power series method, we solve the non-homogeneous Gegenbauer differential equation (1 x(2)) y '' (x) + n(n - 1)y(x) = Sigma(m = 0) (infinity) a(m)x(m). Also we prove the Hyers-Ulam stability for the Gegenbauer differential equation.
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