Non-self-adjoint singular Sturm-Liouville problems with boundary conditions dependent on the eigenparameter.
Bairamov, Elgiz, Seyyidoglu, M.Seyyit (2010)
Abstract and Applied Analysis
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Bairamov, Elgiz, Seyyidoglu, M.Seyyit (2010)
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.
Griesemer, Marcel, Lewis, Roger T., Siedentop, Heinz (1999)
Documenta Mathematica
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Benalili, Mohammed, Lansari, Azzedine (2005)
Lobachevskii Journal of Mathematics
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Mostafa Mbekhta, Jaroslav Zemánek (2007)
Banach Center Publications
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Irene Rousseau (2001)
Visual Mathematics
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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. ...
Tosio Kato (1982)
Mathematische Zeitschrift
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Lihua You, Yujie Shu, Xiao-Dong Zhang (2016)
Czechoslovak Mathematical Journal
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We obtain a sharp upper bound for the spectral radius of a nonnegative matrix. This result is used to present upper bounds for the adjacency spectral radius, the Laplacian spectral radius, the signless Laplacian spectral radius, the distance spectral radius, the distance Laplacian spectral radius, the distance signless Laplacian spectral radius of an undirected graph or a digraph. These results are new or generalize some known results.
Bairamov, Elgiz, Aygar, Yelda, Olgun, Murat (2010)
Boundary Value Problems [electronic only]
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