On the Solution of the Monge-Ampere Equation ZxxZyy - Z²xy= f (x, y) with Quadratic Right Side

dc.contributor.author	Aminov, Yu.
dc.contributor.author	Arslan, K.
dc.contributor.author	Bulca, B.
dc.contributor.author	Murathan, C.
dc.contributor.author	Bayram, B. (Kilic)
dc.contributor.author	Öztürk, G.
dc.date.accessioned	2016-10-02T19:28:53Z
dc.date.available	2016-10-02T19:28:53Z
dc.date.issued	2011
dc.identifier.citation	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.	uk_UA
dc.identifier.issn	1812-9471
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/106681
dc.description.abstract	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.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України	uk_UA
dc.relation.ispartof	Журнал математической физики, анализа, геометрии
dc.title	On the Solution of the Monge-Ampere Equation ZxxZyy - Z²xy= f (x, y) with Quadratic Right Side	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA