Problems for Ordinary Differential Equations with Transmission Conditions |
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| Authors: | Oktay Muhtarov Sasun Yakubov |
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| Institution: | 1. Fen-Edibiyat Fakültesi, Matematik B?lümü Tasliciftik , Gaziosmanpasa üniversitesi , Tokat, Turkey;2. Department of Mathematics , University of Haifa , Haifa, 31905, Israel |
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| Abstract: | We investigate a boundary-functional problem with transmission conditions for ordinary differential-operator equation in Sobolev spaces with a weight. We prove an isomorphism, coerciveness with respect to the spectral parameter, completeness and Abel basis of a system of root functions of the problem. Obtained results in the article are new even in case of Sobolev spaces without the weight. |
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| Keywords: | Isomorphism Coerciveness Completeness Abel Basis Root Functions Boundary-functional Conditions Transmission Conditions |
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