The Eigenfunction Expansion for a Dirichlet Problem with Explosive Factor

Zaki FA El-Raheem, A. H. Nasser

Type: Article

Publication Date: 2011-01-01

Citations: 3

DOI: https://doi.org/10.1155/2011/828176

Abstract

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 L 2 (0, π ; ρ ( x )).

Locations

Project Euclid (Cornell University) - View - PDF
DOAJ (DOAJ: Directory of Open Access Journals) - View
Abstract and Applied Analysis - View - PDF

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+	The inverse spectral problem of some singular version of one-dimensional Schrödinger operator with explosive factor in finite interval	2014	Zaki FA El-Raheem
+ PDF Chat	The Regularized Trace Formula of the Spectrum of a Dirichlet Boundary Value Problem with Turning Point	2012	Zaki FA El-Raheem A. H. Nasser
+ PDF Chat	The equiconvergence of the eigenfunction expansion for a singular version of one-dimensional Schrodinger operator with explosive factor	2011	Zaki FA El-Raheem A. H. Nasser

Works Cited by This (5)

Action	Title	Year	Authors
+	Sturm-Liouville Operators and Applications	1986	V. А. Marchenko
+	Inverse Sturm-Liouville Problems	1987	B. M. Levitan
+	On the spectral property of a Dirichlet problem with explosive factor	2002	Zaki FA El-Raheem A. H. Nasser
+ PDF Chat	Sturm-Liouville Operators and Applications	2011	V. А. Marchenko
+	Sturm-Liouville theory : past and present	2005	Werner O. Amrein Andréas Hinz D. B. Pearson