非线性方程L(λ)U+R(ε,λ,u)=0分支解的迭代方法

An Iteration Method on Branching Solutions of Nonlinear Equation L(λ)U+R(ε,λ,μ)=0

本文针对一类非线性方程,构造了一种求其分支解的迭代方法。与其它方法相比,它有这样的优点:在每一步迭代中只需求解一个线性泛函方程。此外还讨论了它的收敛性、存在性及收敛率。

An iteration method on bifurcation solutions of following nonlinear equations is constructed. It has advantage on other methods that only one linear functional equation is requested to be solved in on iteration. With more, We discuss its convergence, existence and convergent rate.