Title of article :
Stability of the Banach space valued Chebyshev differential equation
Author/Authors :
Miura، نويسنده , , Takeshi and Takahasi، نويسنده , , Sin-Ei and Hayata، نويسنده , , Takahiro and Tanahashi، نويسنده , , Kotaro، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2012
Abstract :
We prove that, if f is an approximate solution of the Banach space valued Chebyshev differential equation ( 1 − x 2 ) y ″ ( x ) − x y ′ ( x ) + n 2 y ( x ) = 0 for x ∈ ( − 1 , 1 ) , then f is near to an exact solution.
Keywords :
Chebyshev’s differential equation , Exponential functions , Hyers–Ulam stability , Hyers–Ulam–Rassias stability
Journal title :
Applied Mathematics Letters
Journal title :
Applied Mathematics Letters
