Two-Sided Approximations Method Based on the Green’s Functions Use for Construction of a Positive Solution of the Dirichle Problem for a Semilinear Elliptic Equation
Abstract:Context. The question of constructing a method of two-sided approximations for finding a positive solution of the Dirichlet problem for a semilinear elliptic equation based on the use of the Green’s functions method is considered. The object of research is the first boundary value problem (the Dirichlet problem) for a second-order semilinear elliptic equation.
Objective. The purpose of the research is to develop a method of two-sided approximations for solving the Dirichlet problem for second-order semi… Show more
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