Non-Linear Eigenvalue Problems for Some Fourth Order Equations. I. Maximal Solutions

摘要

A constructive, nonlinear iterative method is developed for the construction of a 'positive' solution (u(t), theta(t)) of a nonlinear fourth order ordinary differential equation of the form U double prime = lambda theta(H sub 1)(t,u, theta), theta double prime = lambda u(H sub theta)(t,u, theta). A solution (u(t), theta(t)) is 'positive' if u(t) = or