On the Generalized Solution of the Boundary-Value Problem for the Operator-Differential Equations of the Second Order with Variable Coefficients
Boundary-value problem for a class of operator-differential equations of the second order with variable coefficients on [0;+∞) is studied. The principal part of investigated operator-differential equation has discontinuities. Sufficient conditions for the existence and uniqueness of generalized solu...
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| Datum: | 2006 |
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| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | English |
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Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2006
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| Schriftenreihe: | Журнал математической физики, анализа, геометрии |
| Online Zugang: | http://dspace.nbuv.gov.ua/handle/123456789/106583 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | On the Generalized Solution of the Boundary-Value Problem for the Operator-Differential Equations of the Second Order with Variable Coefficients / A.R. Aliev // Журнал математической физики, анализа, геометрии. — 2006. — Т. 2, № 1. — С. 87-93. — Бібліогр.: 6 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| Zusammenfassung: | Boundary-value problem for a class of operator-differential equations of the second order with variable coefficients on [0;+∞) is studied. The principal part of investigated operator-differential equation has discontinuities. Sufficient conditions for the existence and uniqueness of generalized solutions of the boundary-value problem for such equations are given. These conditions are expressed only in terms of coe cients of the operator-differential equation. |
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