In the paper, we obtain the existence of symmetric or monotone positive solutions and establish a corresponding iterative scheme for the equation (ϕp(u′))′+q(t)f(u) = 0, 0 < t < 1, where ϕp(s):= |s|p−2s, p > 1, subject to nonlinear boundary condition. The main tool is the monotone iterative technique. Here, the coefficient q(t) may be singular at t = 0; 1.
iteration symmetric and monotone positive solution nonlinear boundary value problem p-Laplacian
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R. I. Avery, C. J. Chyan, and J. Henderson: Twin solutions of boundary value problems for ordinary differential equations and finite difference equations. Comput. Math. Appl. 42 (2001), 695–704.MATHCrossRefMathSciNetGoogle Scholar