二元非线性算子方程解的存在唯一性

Existence and Uniqueness of Solutions for Two-Element Nonlinear Operator Equations

本文在σ-备半序线性空间及具有正规锥的实Banach空间中讨论二元非线性算子方程A(u,u)=λu获得了多个解的存在唯一性定理,给出了近似解的误差估计及应用.

Dealing with the solutions for two-element nonlinear operater equations in the σ-complete semi-order linear space and the real Banach space with a normal cone,many theorems of existence and uniqueness of correspondent solutions to A(u,u)= λu have been obtained.The error estimation of approximate solutions and application have also been given in this paper.