Data di Pubblicazione:
2018
Citazione:
Limit periodic upper and lower solutions in a generic sense / M. Tarallo, Z. Zhou. - In: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. - ISSN 1078-0947. - 38:1(2018), pp. 293-309.
Abstract:
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.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
Contraction mapping principle; Exponential dichotomy; Limit periodic function; Module; Sard-smale lemma; Analysis; Discrete Mathematics and Combinatorics; Applied Mathematics
Elenco autori:
M. Tarallo, Z. Zhou
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