Simple Proofs of the Hadamard and Poincaré–Miranda Theorems Using the Brouwer Fixed Point Theorem

DOI10.1080/00029890.2019.1551023zbMath1415.54025OpenAlexW2920921709WikidataQ113853678 ScholiaQ113853678MaRDI QIDQ4628422

Jean Mawhin

Publication date: 13 March 2019

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00029890.2019.1551023

zbMATH Keywords

Hadamard's theoremBrouwer fixed point theoremPoincaré-Miranda theorem

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25)

Related Items (5)

The Brouwer fixed point theorem and periodic solutions of differential equations ⋮ New lower bounds of the number of critical periods in reversible centers ⋮ Hopf bifurcation in 3-dimensional polynomial vector fields ⋮ Some open problems in low dimensional dynamical systems ⋮ The full power of the half-power

Cites Work

• The Poincare-Miranda Theorem

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