Differentiable solutions of equations involving iterated functional series.

Song, Wei

Displaying similar documents to “Differentiable solutions of equations involving iterated functional series.”

The $C^{1}$ solutions of the series-like iterative equation with variable coefficients.

Mi, Yuzhen, Li, Xiaopei, Ma, Ling (2009)

Fixed Point Theory and Applications [electronic only]

Similarity:

On series-like iterative equation with a general boundary restriction.

Song, Wei, Yang, Guo-Qiu, Lei, Feng-Chun (2009)

Fixed Point Theory and Applications [electronic only]

Similarity:

Power function solutions of iterative functional differential equations.

Talwong, Sukrawan, Laohakosol, Vichian, Cheng, Sui Sun (2004)

Applied Mathematics E-Notes [electronic only]

Similarity:

On a linear functional equation with a mean-type mapping having no fixed points

Katarzyna Sajbura (2005)

Discussiones Mathematicae, Differential Inclusions, Control and Optimization

Similarity:

Our aim is to study continuous solutions φ of the classical linear iterative equation φ(f(x,y)) = g(x,y)φ(x,y) + h(x,y), where the given function f is defined as a pair of means. We are interested in the case when f has no fixed points. In turns out that in such a case continuous solutions of (1) depend on an arbitrary function.