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Excerpt from A Fixed Point Theorem
The purpose of this paper is to prove a fixed point theorem that is useful in the Diliberto perturbation theory. The (non-degenerate) perturbation theorems of G. Hufford [l] and M. Marcus [2] are implied by this result.
I wish to thank Professor S. P. Diliberto for suggesting this problem and for his continued interest in it. In addition, I wish to thank Professor L. Nirenberg for pointing out a mistake in an earlier proof of this theorem.
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Paperback. Condizione: New. Print on Demand. This book provides a groundbreaking fixed point theorem with far-reaching implications in perturbation theory. The theorem unifies and extends previous results by Hufford and Marcus, offering a comprehensive framework for analyzing the behavior of dynamical systems under small disturbances. The author meticulously establishes the conditions under which a unique fixed point exists and demonstrates its continuous dependence on system parameters. The book culminates in a rigorous proof of the theorem, showcasing its significance in the study of differential equations and related fields. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Codice articolo 9781332748150_0
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