Solving of Partial Differential Equations under Minimal Conditions

dc.contributor.author	Maslyuchenko, V.K.
dc.contributor.author	Mykhaylyuk, V.V.
dc.date.accessioned	2016-09-29T18:06:34Z
dc.date.available	2016-09-29T18:06:34Z
dc.date.issued	2008
dc.identifier.citation	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.	uk_UA
dc.identifier.issn	1812-9471
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/106505
dc.description.abstract	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.	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	Solving of Partial Differential Equations under Minimal Conditions	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA