Публікація: On the construction of two-sided approximations to positive solutions of some elliptic problem
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Дата
2016
Автори
Назва журналу
ISSN журналу
Назва тома
Видавництво
LUBLIN–RZESZOW
Анотація
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
Опис
Ключові слова
two-sided approximations, operator equation, positive solution, concave operator
Бібліографічний опис
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.