关于迭代方程sum from i=1 to n (λ_if^i(x))=F(x)的连续解

The Continuous Solutions of the Iterative Equation sum from i=1 to n (λ_if^i(x))=F(x)

通过构造算子并应用Schauder不动点定理讨论了闭区间[a,b]中一类迭代方程的连续解的存在性和唯一性.

By constructing a structure operator and using the Schauder fixed point theory,the existence,uniqueness and stability of the continuous solutions of the iterative equation are discussed.