Note on the explicit solutions for a boundary value problem of a second-order nonlinear equation

摘要

In this note, we consider a boundary value problem for a second-order nonlinear equation: d(2)y/dx(2) =lambda(x)e(mu(x)y), y(0) = y(1) = 0. where mu(x) > 0 and lambda(x) are two functions satisfying certain conditions. The explicit solutions to this problem are obtained. (c) 2007 Elsevier Ltd. All rights reserved.