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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Bairamov, Elgiz, Yokus, Nihal (2009)
Abstract and Applied Analysis
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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.
PrzemysŁaw Kosowski (1997)
Banach Center Publications
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The aim of this article is to present a simple proof of the theorem about perturbation of the Sturm-Liouville operator in Liouville normal form.
Benalili, Mohammed, Lansari, Azzedine (2005)
Lobachevskii Journal of Mathematics
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Başcanbaz-Tunca, Gülen (2004)
International Journal of Mathematics and Mathematical Sciences
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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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Ziyatkhan Aliyev (2010)
Open Mathematics
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We consider a fourth order eigenvalue problem containing a spectral parameter both in the equation and in the boundary condition. The oscillation properties of eigenfunctions are studied and asymptotic formulae for eigenvalues and eigenfunctions are deduced. The basis properties in L p(0; l); p ∈ (1;∞); of the system of eigenfunctions are investigated.
Amaury Mouchet (2012)
ESAIM: Proceedings
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For the one-dimensional Schrödinger equation, some real intervals with no eigenvalues (the spectral gaps) may be obtained rather systematically with a method proposed by H. Giacomini and A. Mouchet in 2007. The present article provides some alternative formulation of this method, suggests some possible generalizations and extensively discusses the higher-dimensional case.
Tosio Kato (1982)
Mathematische Zeitschrift
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Sadkane, Miloud (2004)
Applied Mathematics E-Notes [electronic only]
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