Hyers-Ulam stability for a nonlinear iterative equation

• Autorzy: Bing Xu , Weinian Zhang
• Języki publikacji: EN

Abstrakty

EN

We discuss the Hyers-Ulam stability of the nonlinear iterative equation $G(f^{n₁}(x),...,f^{n_k}(x)) = F(x)$. By constructing uniformly convergent sequence of functions we prove that this equation has a unique solution near its approximate solution.

Kategorie tematyczne

• 39B12: Iteration theory, iterative and composite equations
• 37E05: Maps of the interval (piecewise continuous, continuous, smooth)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2002
• Tom: 93
• Numer: 1
• Strony: 1-9

Daty

wydano

2002

Twórcy

autor

Bing Xu

• Department of Mathematics, Sichuan University, Chengdu, Sichuan 610064, P.R. China

autor

Weinian Zhang

• Department of Mathematics, Sichuan University, Chengdu, Sichuan 610064, P.R. China

Identyfikatory

DOI

10.4064/cm93-1-1