Solving of Partial Differential Equations under Minimal Conditions
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Solving of Partial Differential Equations under Minimal Conditions
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| Creator |
Maslyuchenko, V.K.
Mykhaylyuk, V.V. |
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| Description |
It is proved that a differentiable with respect to each variable function f : R2 → R is a solution of the equation ∂u/∂x + ∂u/∂y = 0 if and only if there exists a function φ : R → R such that f(x, y) = φ(x - y). This gives a positive answer to a question by R. Baire. Besides, this result is used to solve analogous partial di erential equations in abstract spaces and partial differential equations of higher-order.
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| Date |
2016-09-29T18:06:34Z
2016-09-29T18:06:34Z 2008 |
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| Type |
Article
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| Identifier |
Solving of Partial Differential Equations under Minimal Conditions / V.K. Maslyuchenko, V.V. Mykhaylyuk // Журнал математической физики, анализа, геометрии. — 2008. — Т. 4, № 2. — С. 252-266. — Бібліогр.: 7 назв. — англ.
1812-9471 http://dspace.nbuv.gov.ua/handle/123456789/106505 |
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| Language |
en
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| Relation |
Журнал математической физики, анализа, геометрии
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| Publisher |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
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