The Brouwer fixed point theorem and periodic solutions of differential equations

Abstract The Brouwer fixed point theorem is a key ingredient in the proof that a periodic differential equation has a periodic solution in a set that satisfies a suitable tangency condition on its boundary. The main goal of this note is to show that both results are in fact equivalent.

Gespeichert in:
Autor*in:

Cid, José Ángel [verfasserIn]

Mawhin, Jean

Format:

Artikel

Sprache:

Englisch

Erschienen:

2022

Schlagwörter:

Brouwer fixed point theorem

periodic solutions

periodic boundary value problem

convex analysis

Anmerkung:

© The Author(s) 2022

Übergeordnetes Werk:

Enthalten in: Journal of fixed point theory and applications - Springer International Publishing, 2007, 25(2022), 1 vom: 29. Dez.

Übergeordnetes Werk:

volume:25 ; year:2022 ; number:1 ; day:29 ; month:12

Links:

Volltext

DOI / URN:

10.1007/s11784-022-01023-x

Katalog-ID:

OLC2080202901

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