Limit periodic upper and lower solutions in a generic sense

Autor:	Zhe Zhou, Massimo Tarallo
Rok vydání:	2018
Předmět:	010101 applied mathematics Pure mathematics Differential equation Applied Mathematics Exponential dichotomy 010102 general mathematics Discrete Mathematics and Combinatorics Sense (electronics) Limit (mathematics) 0101 mathematics 01 natural sciences Analysis Mathematics
Zdroj:	Discrete & Continuous Dynamical Systems - A. 38:293-309
ISSN:	1553-5231
DOI:	10.3934/dcds.2018014
Popis:	The method of upper and lower solutions is a main tool to prove the existence of periodic solutions to periodic differential equations. It is known that, in general, the method does not extend to the almost periodic case. The aim of the present paper is to show that, however, something interesting survives: if the classical assumptions of the method are satisfied, then the expected existence result holds generically in the limit periodic framework.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::b702e38d3b047baebb45fd92749d5095 https://doi.org/10.3934/dcds.2018014 Zobrazit plný text záznamu