On the construction of two-sided approximations to positive solutions of some elliptic problem

Kolosova, S.; Lukhanin, V.

Публікація:
On the construction of two-sided approximations to positive solutions of some elliptic problem

dc.contributor.author	Kolosova, S.
dc.contributor.author	Lukhanin, V.
dc.date.accessioned	2018-03-29T13:47:51Z
dc.date.available	2018-03-29T13:47:51Z
dc.date.issued	2016
dc.description.abstract	In this paper we have investigated the existence, uniqueness and possibility of constructing of two-sided approximations to the positive solution of a heat conduction problem with two sources. The investigation is based on methods in operator equations theory in half-ordered spaces. In this case we have considered a nonlinear operator equation that corresponds to the initial boundary value problem in a cone of non-negative continous functions. The roperties of the corresponding operator define conditions which provide the existence and uniqueness of the solution. The conditions link the parameters of the problem implicitly meaning that they don’t provide the range of allowed values but need to be verified for each specific parameters value set separately	uk_UA
dc.identifier.citation	Kolosova S. On the construction of two-sided approximations to positive solutions of some elliptic problem / S. Kolosova, V. Lukhanin // Econtechmod. An international quarterly journal on economics in technology,new technologies and modelling processes – 2016. – Vol. 5, № 4 – P. 11–19.	uk_UA
dc.identifier.uri	http://openarchive.nure.ua/handle/document/4457
dc.language.iso	en	uk_UA
dc.publisher	LUBLIN–RZESZOW	uk_UA
dc.subject	two-sided approximations	uk_UA
dc.subject	operator equation	uk_UA
dc.subject	positive solution	uk_UA
dc.subject	concave operator	uk_UA
dc.title	On the construction of two-sided approximations to positive solutions of some elliptic problem	uk_UA
dc.type	Article	uk_UA
dspace.entity.type	Publication