A numerical method to obtain positive solution for classes of competitive systems
نویسندگان
چکیده
Using a numerical method based on sub-super solution, we will obtain positive solution to the coupled-system of boundary value problems of the form −∆u(x) = λf(x, u, v) x ∈ Ω −∆v(x) = λg(x, u, v) x ∈ Ω u(x) = 0 = v(x) x ∈ ∂Ω where f , g are C functions with at least one of f(x0, 0, 0) or g(x0, 0, 0) being negative for some x0 ∈ Ω (semipositone).
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