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Applicable Analysis
An International Journal
Volume 81, 2002 - Issue 5
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Original Articles

Problems for Ordinary Differential Equations with Transmission Conditions

Oktay Muhtarov Fen-Edibiyat FakÜltesi, Matematik BölÜmÜ Tasliciftik, Gaziosmanpasa Üniversitesi, Tokat, Turkey
&
Sasun Yakubov Department of Mathematics, University of Haifa, Haifa, 31905, Israel
Pages 1033-1064 | Published online: 09 Sep 2010
 
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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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