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Analytic solutions for polynomial-like iterative equations with variable coefficients

Bing Xu — 2004

Annales Polonici Mathematici

Analytic solutions of polynomial-like iterative functional equations with variable coefficients are discussed in the complex field ℂ by reducing to an auxiliary equation and by applying known results for systems of nonlinear functional equations of finite orders.

Hyers-Ulam stability for a nonlinear iterative equation

Bing Xu; Weinian Zhang — 2002

Colloquium Mathematicae

We discuss the Hyers-Ulam stability of the nonlinear iterative equation $G (f^{n ₁} (x), . . ., f^{n_{k}} (x)) = F (x)$ . By constructing uniformly convergent sequence of functions we prove that this equation has a unique solution near its approximate solution.

Entire bounded solutions for a class of quasilinear elliptic equations.

Yang, Zuodong; Xu, Bing — 2007

Boundary Value Problems [electronic only]

Notes on stability of the generalized gamma functional equation.

Kim, Gwang Hui; Xu, Bing; Zhang, Weinian — 2002

International Journal of Mathematics and Mathematical Sciences

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