Spectral analysis for differential operators with singularities.
Yurko, Vjacheslav Anatoljevich (2004)
Abstract and Applied Analysis
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Yurko, Vjacheslav Anatoljevich (2004)
Abstract and Applied Analysis
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Vyacheslav Yurko (2014)
Open Mathematics
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We study inverse spectral problems for ordinary differential equations on compact star-type graphs when differential equations have different orders on different edges. As the main spectral characteristics we introduce and study the so-called Weyl-type matrices which are generalizations of the Weyl function (m-function) for the classical Sturm-Liouville operator. We provide a procedure for constructing the solution of the inverse problem and prove its uniqueness.
Freiling, G., Yurko, V. (2005)
International Journal of Mathematics and Mathematical Sciences
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Bairamov, Elgiz, Seyyidoglu, M.Seyyit (2010)
Abstract and Applied Analysis
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Castro González, N., Koliha, J.J., Rakočević, V. (2002)
Abstract and Applied Analysis
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Liubov Efremova, Gerhard Freiling (2013)
Open Mathematics
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We consider Sturm-Liouville differential operators on a finite interval with discontinuous potentials having one jump. As the main result we obtain a procedure of recovering the location of the discontinuity and the height of the jump. Using our result, we apply a generalized Rundell-Sacks algorithm of Rafler and Böckmann for a more effective reconstruction of the potential and present some numerical examples.
Başcanbaz-Tunca, Gülen (2004)
International Journal of Mathematics and Mathematical Sciences
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Dragan S. Djordjević, Stanimirović, Predrag S. (2001)
Czechoslovak Mathematical Journal
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We investigate the generalized Drazin inverse and the generalized resolvent in Banach algebras. The Laurent expansion of the generalized resolvent in Banach algebras is introduced. The Drazin index of a Banach algebra element is characterized in terms of the existence of a particularly chosen limit process. As an application, the computing of the Moore-Penrose inverse in -algebras is considered. We investigate the generalized Drazin inverse as an outer inverse with prescribed range...
Christoph Schmoeger (2008)
Publications de l'Institut Mathématique
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