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Журнал математической физики, анализа, геометрии, 2006, том 2, номер 4, страницы 347–357
(Mi jmag40)
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Эта публикация цитируется в 1 научной статье (всего в 1 статье)
On the solvability of a class of operator differential equations of the second order on the real axis
A. R. Alievab a Baku State University, 23 Z. Khalilov Str., Baku, AZ-1148, Azerbaijan
b Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan, 9 F. Agaev Str., Baku, AZ-1141, Azerbaijan
Аннотация:
Solvability of the operator dierential equation of the second order with variable coefficients 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 coefficients 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.
Ключевые слова и фразы:
operator diffeerential equation, selfadjoint operator, discontinuous coefficient, regular solution, Hilbert space.
Поступила в редакцию: 15.12.2005
Образец цитирования:
A. R. Aliev, “On the solvability of a class of operator differential equations of the second order on the real axis”, Журн. матем. физ., анал., геом., 2:4 (2006), 347–357
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/jmag40 https://www.mathnet.ru/rus/jmag/v2/i4/p347
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Страница аннотации: | 270 | PDF полного текста: | 80 | Список литературы: | 50 |
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