On the asymptotic of an eigenvalue problem with 2n interior singularities

In this paper we consider the linear differential equation of the form where y satisfies Dirichlet boundary conditions and q is a real-valued function which has even number of singularities at c 1 , …, c 2 n ∈ ( a , b ). We will study the asymptotic eigenvalue near the singularity points.

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Veröffentlicht in:Proceedings of the Indian Academy of Sciences. Mathematical sciences 2009-11, Vol.119 (5), p.619-627
Hauptverfasser: Neamaty, A., Haghaieghy, S.
Format: Artikel
Sprache:eng
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Zusammenfassung:In this paper we consider the linear differential equation of the form where y satisfies Dirichlet boundary conditions and q is a real-valued function which has even number of singularities at c 1 , …, c 2 n ∈ ( a , b ). We will study the asymptotic eigenvalue near the singularity points.
ISSN:0253-4142
0973-7685
DOI:10.1007/s12044-009-0058-4