Method of two-sided approximations for finding positive solutions of boundary value problems for semilinear elliptic systems: the use of the Green-Rvachev"s quasi-function
Метод двостороннього наближення для пошуку позитивних рішень крайових задач для напівлінійних еліптичних систем: використання квазіфункції Гріна-Рвачова.
A homogeneous Dirichlet problem for a system of semilinear elliptic equations is investigated. To construct two-sided approximations to а positive solution of this system, the transition to an equivalent system of nonlinear integral equations (with the help of the Green-Rvachev"s quasi-function) with its subsequent analysis by methods of the theory of semiordered spaces is used. The work and eciency of the developed method are demonstrated by a computational experiment for a test system with exponential nonlinearity.
