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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Displaying similar documents to “A Sturm-Liouville problem with spectral and large parameters in boundary conditions and the associated Cauchy problem”
Non-self-adjoint singular Sturm-Liouville problems with boundary conditions dependent on the eigenparameter.
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Bairamov, Elgiz, Yokus, Nihal (2009)
Abstract and Applied Analysis
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A simple proof of the spectral continuity of the Sturm-Liouville problem
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.
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Benalili, Mohammed, Lansari, Azzedine (2005)
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Başcanbaz-Tunca, Gülen (2004)
International Journal of Mathematics and Mathematical Sciences
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Mostafa Mbekhta, Jaroslav Zemánek (2007)
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Irene Rousseau (2001)
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Basis properties of a fourth order differential operator with spectral parameter in the boundary condition
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.
Algebraic spectral gaps
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.
Superconvexity of the Spectral Radius, and Convexity of the Spectral Bound and the Type.
Tosio Kato (1982)
Mathematische Zeitschrift
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A note on the integral criterion for spectral dichotomy of regular pencils.
Sadkane, Miloud (2004)
Applied Mathematics E-Notes [electronic only]
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Some global results for nonlinear Sturm-Liouville problems with spectral parameter in the boundary condition
Ziyatkhan S. Aliyev, Gunay M. Mamedova (2015)
Annales Polonici Mathematici
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We consider nonlinear Sturm-Liouville problems with spectral parameter in the boundary condition. We investigate the structure of the set of bifurcation points, and study the behavior of two families of continua of nontrivial solutions of this problem contained in the classes of functions having oscillation properties of the eigenfunctions of the corresponding linear problem, and bifurcating from the points and intervals of the line of trivial solutions.