STABILITY OF THE SOLUTION OF THE ITERATED EQUATION ∑i=1n λif(x)=F(x)

数学物理学报(英文版) ›› 1988, Vol. 8 ›› Issue (4): 421-424.

STABILITY OF THE SOLUTION OF THE ITERATED EQUATION ∑_i=1ⁿ λ_if(x)=F(x)

张伟年

Inst. of Math., Sci., Chengdu Branch of Academia Sinica, Chengdu, China

收稿日期:1986-10-15 出版日期:1988-12-25 发布日期:1988-12-25

STABILITY OF THE SOLUTION OF THE ITERATED EQUATION ∑_i=1ⁿ λ_if(x)=F(x)

Zhang Weinian

Inst. of Math., Sci., Chengdu Branch of Academia Sinica, Chengdu, China

Received:1986-10-15 Online:1988-12-25 Published:1988-12-25

摘要/Abstract

摘要： This note is a further work of discussion on the iterated equation λ_if(x)+λ₂f²(x)+…λ_nfⁿ(x)=F(x), following the author's conclusions of the existence and uniqueness of this equation. In this note we prove that the sufficient condition of the stability of the solution is the same one as the uniqueness of the solution (see[4]).

张伟年. STABILITY OF THE SOLUTION OF THE ITERATED EQUATION ∑_i=1ⁿ λ_if(x)=F(x)[J]. 数学物理学报(英文版), 1988, 8(4): 421-424.

Zhang Weinian. STABILITY OF THE SOLUTION OF THE ITERATED EQUATION ∑_i=1ⁿ λ_if(x)=F(x)[J]. Acta mathematica scientia,Series B, 1988, 8(4): 421-424.

STABILITY OF THE SOLUTION OF THE ITERATED EQUATION ∑_i=1ⁿ λ_if(x)=F(x)

STABILITY OF THE SOLUTION OF THE ITERATED EQUATION ∑_i=1ⁿ λ_if(x)=F(x)

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