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Exact solutions of a class of second-order nonlocal boundary value problems and applications
Authors:Zengqin Zhao
Institution:School of Mathematical Sciences, Qufu Normal University, Qufu, Shandong 273165, People’s Republic of China
Abstract:In this paper, solutions of a class of second-order differential equations with some multi-point boundary conditions are studied. We give exact expressions of the solutions for the linear m-point boundary problems by the Green’s functions. As applications, we study uniqueness and iteration of the positive solutions for a nonlinear singular second-order m-point boundary value problem.
Keywords:Second-order differential equation  Nonlocal boundary  Value problem  Exact solution  Iterative solution
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