A general class of iterative equations on the unit circle

作者：Zdun Marek C^*; Zhang Weinian

来源：Czechoslovak Mathematical Journal, 2007, 57(3): 809-829.

DOI：10.1007/s10587-007-0077-1

• iterative equation
• circle
• lift
• orientation-preserving
• continuation

A class of functional equations with nonlinear iterates is discussed on the unit circle T-1. By lifting maps on T-1 and maps on the torus T-n to Euclidean spaces and extending their restrictions to a compact interval or cube, we prove existence, uniqueness and stability for their continuous solutions.

• 出版日期2007
• 单位四川大学