论文标题

一类迭代功能方程的平滑解决方案

Smooth solutions of a class of iterative functional equations

论文作者

Shi, Weiwei, Tang, Xiao

论文摘要

使用纤维收缩定理对已知函数的衍生物施加一些条件,我们证明存在一类迭代功能方程的$ C^1 $解,涉及未知函数和非线性项的迭代。

Imposing some conditions on derivatives of the known functions, using the Fiber Contraction Theorem we prove the existence of $C^1$ solutions of a class of iterative functional equations which involves iterates of the unknown functions and a nonlinear term.

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