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arXiv · 2210.06321

Smooth solutions of a class of iterative functional equations

Weiwei Shi·Xiao Tang
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Abstract

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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Weiwei Shi, Xiao Tang. 2022-10-12. Smooth solutions of a class of iterative functional equations. https://arxiv.org/abs/2210.06321

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