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Analytic solutions for polynomial-like iterative equations with variable coefficients

100%

Xu B.

Annales Polonici Mathematici

2004

tom 83

nr 3

193-200

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

63%

Xu B., Zhang W.

Colloquium Mathematicum

2002

tom 93

nr 1

1-9

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.

Ograniczanie wyników

1 Annales Polonici Mathematici

1 Colloquium Mathematicum

2 Xu B.

1 Zhang W.

1 2004

1 2002

Wyniki wyszukiwania

Analytic solutions for polynomial-like iterative equations with variable coefficients

Hyers-Ulam stability for a nonlinear iterative equation