Legendre's Differential Equation and Its Hyers-Ulam Stability
Soon-Mo Jung
Source: Abstr. Appl. Anal. Volume 2007 (2007), 14 pages.
Abstract
We solve the nonhomogeneous Legendre's differential equation and apply this result to obtaining a partial solution to the Hyers-Ulam stability problem for the Legendre's equation.
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Permanent link to this document: http://projecteuclid.org/euclid.aaa/1204126604
Digital Object Identifier: doi:10.1155/2007/56419
Mathematical Reviews number (MathSciNet):
MR2365813
Abstract and Applied Analysis