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1

PM functions, their characteristic intervals and iterative roots

100%

Zhang W.

Annales Polonici Mathematici

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1996-1997

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tom 65

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nr 2

119-128

EN

The concept of characteristic interval for piecewise monotone functions is introduced and used in the study of their iterative roots on a closed interval.

2

Continuous solutions of a polynomial-like iterative equation with variable coefficients

63%

Zhang W., Baker J. A.

Annales Polonici Mathematici

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2000

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tom 73

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nr 1

29-36

EN

Using the fixed point theorems of Banach and Schauder we discuss the existence, uniqueness and stability of continuous solutions of a polynomial-like iterative equation with variable coefficients.

3

Hyers-Ulam stability for a nonlinear iterative equation

63%

Xu B., Zhang W.

Colloquium Mathematicum

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2002

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tom 93

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nr 1

1-9

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.

Ograniczanie wyników

2 Annales Polonici Mathematici

1 Colloquium Mathematicum

3 Zhang W.

1 Baker J. A.

1 Xu B.

1 2002

1 2000

1 1997

PM functions, their characteristic intervals and iterative roots

Continuous solutions of a polynomial-like iterative equation with variable coefficients

Hyers-Ulam stability for a nonlinear iterative equation