Spectral singularities of Sturm-Liouville problems with eigenvalue-dependent boundary conditions.
Bairamov, Elgiz, Yokus, Nihal (2009)
Abstract and Applied Analysis
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Bairamov, Elgiz, Yokus, Nihal (2009)
Abstract and Applied Analysis
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Başcanbaz-Tunca, Gülen (2004)
International Journal of Mathematics and Mathematical Sciences
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Gülen Başcanbaz Tunca, Elgiz Bairamov (1999)
Czechoslovak Mathematical Journal
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In this article, we consider the operator defined by the differential expression in , where is a complex valued function. Discussing the spectrum, we prove that has a finite number of eigenvalues and spectral singularities, if the condition holds. Later we investigate the properties of the principal functions corresponding to the eigenvalues and the spectral singularities.
Jamel Ben Amara (2011)
Colloquium Mathematicae
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We study a Sturm-Liouville problem containing a spectral parameter in the boundary conditions. We associate to this problem a self-adjoint operator in a Pontryagin space Π₁. Using this operator-theoretic formulation and analytic methods, we study the asymptotic behavior of the eigenvalues under the variation of a large physical parameter in the boundary conditions. The spectral analysis is applied to investigate the well-posedness and stability of the wave equation of a string. ...
Bairamov, Elgiz, Aygar, Yelda, Olgun, Murat (2010)
Boundary Value Problems [electronic only]
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Griesemer, Marcel, Lewis, Roger T., Siedentop, Heinz (1999)
Documenta Mathematica
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Darwish, A.A. (1995)
International Journal of Mathematics and Mathematical Sciences
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P. A. Cojuhari, A. M. Gomilko (2008)
Studia Mathematica
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The paper is concerned with conditions guaranteeing that a bounded operator in a reflexive Banach space is a scalar type spectral operator. The cases where the spectrum of the operator lies on the real axis and on the unit circle are studied separately.
Bilender P. Allahverdiev, Hüseyin Tuna (2020)
Communications in Mathematics
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In this work, we consider the singular Hahn difference equation of the Sturm-Liouville type. We prove the existence of the spectral function for this equation. We establish Parseval equality and an expansion formula for this equation on a semi-unbounded interval.
Veliev, O.A. (2008)
Boundary Value Problems [electronic only]
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Yurko, Vjacheslav Anatoljevich (2004)
Abstract and Applied Analysis
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