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Abstract
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Abstract and Applied Analysis
Volume 2007 (2007), Article ID 56419, 14 pages
doi:10.1155/2007/56419

Legendre's differential equation and its Hyers-Ulam stability

Soon-Mo Jung

Mathematics Section, College of Science and Technology, Hong-Ik University, Chochiwon 339-701, South Korea

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.