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On the Solvability of a Class of Operator Differential Equations of the Second Order on the Real Axis

Vernadsky National Library of Ukraine

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Title On the Solvability of a Class of Operator Differential Equations of the Second Order on the Real Axis
 
Creator Aliev, A.R.
 
Description Solvability of the operator differential equation of the second order with variable coe cients on the real axis in a certain weight space is studied. The main part of the equation is an abstract elliptic equation in Hilbert space. We note that sufficient conditions on operator coeffiients of the perturbed part, preserving ellipticity of the equation, are found in the paper, and estimations of the norms of intermediate derivative operators via the main part of the operator differential equation in a certain weight space are also obtained.
 
Date 2016-10-02T18:26:58Z
2016-10-02T18:26:58Z
2006
 
Type Article
 
Identifier On the Solvability of a Class of Operator Differential Equations of the Second Order on the Real Axis / A.R. Aliev // Журнал математической физики, анализа, геометрии. — 2006. — Т. 2, № 4. — С. 347-357. — Бібліогр.: 5 назв. — англ.
1812-9471
http://dspace.nbuv.gov.ua/handle/123456789/106674
 
Language en
 
Relation Журнал математической физики, анализа, геометрии
 
Publisher Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України