On the Solution of the Monge-Ampere Equation ZxxZyy - Z²xy= f (x, y) with Quadratic Right Side
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
On the Solution of the Monge-Ampere Equation ZxxZyy - Z²xy= f (x, y) with Quadratic Right Side
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| Creator |
Aminov, Yu.
Arslan, K. Bulca, B. Murathan, C. Bayram, B. (Kilic) Öztürk, G. |
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| Description |
For the Monge{Ampere equation ZxxZyy-Z²xy = b₂₀x²+b₁₁xy+b₀₂y²+b₀₀ we consider the question on the existence of a solution Z(x, y) in the class of polynomials such that Z = Z(x, y) is a graph of a convex surface. If Z is a polynomial of odd degree, then the solution does not exist. If Z is a polynomial of 4-th degree and 4b₂₀b₀₂ - b₁₁² > 0, then the solution also does not exist. If 4b₂₀b₀₂ - b₁₁² = 0, then we have solutions.
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| Date |
2016-10-02T19:28:53Z
2016-10-02T19:28:53Z 2011 |
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| Type |
Article
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| Identifier |
On the Solution of the Monge-Ampere Equation ZxxZyy - Z²xy= f (x, y) with Quadratic Right Side / Yu. Aminov, K. Arslan, B. Bulca, C. Murathan, B. (Kilic) Bayram, G. Öztürk // Журнал математической физики, анализа, геометрии. — 2011. — Т. 7, № 3. — С. 203-211. — Бібліогр.: 5 назв. — англ.
1812-9471 http://dspace.nbuv.gov.ua/handle/123456789/106681 |
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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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