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The Eigenfunction Expansion for a Dirichlet Problem with Explosive Factor
Author(s) -
Zaki FA El-Raheem,
A. H. Nasser
Publication year - 2011
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 - 10.1155/2011/828176
Subject(s) - eigenfunction , mathematics , explosive material , convergence (economics) , dirichlet distribution , mathematical analysis , space (punctuation) , metric (unit) , dirichlet problem , factor (programming language) , pure mathematics , eigenvalues and eigenvectors , boundary value problem , linguistics , physics , chemistry , philosophy , organic chemistry , operations management , quantum mechanics , economics , economic growth , computer science , programming language
We prove the eigenfunction expansion formula for a Dirichlet problem with explosive factor by two ways, first by standard method and second by proving a convergence in some metric space 2(0,;())

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