Hyers-Ulam stability for Gegenbauer differential equations

Electronic Journal of Differential Equations

关键词: Gegenbauer differential equation;    Hyers-Ulam stability;    power series method;    second order differential equation;   

DOI  :  

来源: DOAJ

【 摘 要 】

Using the power series method, we solve the non-homogeneousGegenbauer 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 Gegenbauerdifferential equation.

【 授权许可】

Unknown