From Sperners Lemma to Differential Equations in Banach Spaces

Editora:

Creative Media Partners, LLC

Código:

491_9781013280740

Vendido e entregue por Um Livro

Sinopse
Características

Based on Sperners lemma the fixed point theorem of Brouwer is proved. Rather than presenting also other beautiful proofs of Brouwers fixed point theorem, many nice applications are given in some detail. Also Schauders fixed point theorem is presented which can be viewed as a natural generalization of Brouwers fixed point theorem to an infinite-dimensional setting. Finally, Tarskis fixed point theorem is applied to differential equations in Banach spaces.This work was published by Saint Philip Street Press pursuant to a Creative Commons license permitting commercial use. All rights not granted by the works license are retained by the author or authors.

Veja mais