Hyers-Ulam stability for a nonlinear iterative equation
Bing Xu ; Weinian Zhang
Colloquium Mathematicae, Tome 91 (2002), p. 1-9 / Harvested from The Polish Digital Mathematics Library
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We discuss the Hyers-Ulam stability of the nonlinear iterative equation G(fn₁(x),...,fnk(x))=F(x). By constructing uniformly convergent sequence of functions we prove that this equation has a unique solution near its approximate solution.

Publié le : 2002-01-01
EUDML-ID : urn:eudml:doc:284463 
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     title = {Hyers-Ulam stability for a nonlinear iterative equation},
     journal = {Colloquium Mathematicae},
     volume = {91},
     year = {2002},
     pages = {1-9},
     zbl = {1018.39017},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm93-1-1}
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Bing Xu; Weinian Zhang. Hyers-Ulam stability for a nonlinear iterative equation. Colloquium Mathematicae, Tome 91 (2002) pp. 1-9. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm93-1-1/