On the Positive and Negative Solutions of Laplacian Bvp with Neumann Boundary Conditions
نویسنده
چکیده
In this paper, we consider the following Neumann boundary value problem { −u′′(x) = u(x)− λ|u(x)|, x ∈ (0, 1), u′(0) = 0 = u′(1), where λ ∈ R is parameter. We study the positive and negative solutions of this problem with respect to a parameter ρ (i.e. u(0) = ρ) in all R∗. By using a quadrature method, we obtain our results. Also we provide some details about the solutions that are obtained.
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