Z. Naghizadeh

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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 = λ1f(v) + μ1h(u) in Ω −∆v = λ2 g(u) + μ2γ(v) in Ω u = 0 = v on ∂Ω where −∆ is the Laplacian operator λ1, λ2, μ1, μ2 are nonnegative parameters, and Ω is a bounded region in Rn, with smooth boundary ∂Ω . We(More)