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
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.