Legendre's Differential Equation and Its Hyers-Ulam Stability
Author(s) -
Soon-Mo Jung
Publication year - 2007
Publication title -
abstract and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.228
H-Index - 56
eISSN - 1687-0409
pISSN - 1085-3375
DOI - 10.1155/2007/56419
Subject(s) - legendre polynomials , mathematics , legendre's equation , associated legendre polynomials , legendre function , stability (learning theory) , differential equation , legendre transformation , first order partial differential equation , mathematical analysis , legendre wavelet , partial differential equation , classical orthogonal polynomials , gegenbauer polynomials , machine learning , computer science , discrete wavelet transform , wavelet transform , artificial intelligence , wavelet , orthogonal polynomials
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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