Affine-periodic solutions by asymptotic and homotopy equivalence

Abstract This paper studies the existence of affine-periodic solutions which have the form of x ( t + T ) = Q x ( t ) $x(t+T)=Qx(t)$ with some nonsingular matrix Q. Depending on the structure of Q, they can be periodic, anti-periodic, quasi-periodic or even unbounded. Krasnosel’skii–Perov type exist...

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Bibliographic Details
Main Authors: Jiamin Xing, Xue Yang
Format: Article
Language:English
Published: SpringerOpen 2020-04-01
Series:Boundary Value Problems
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13661-020-01381-w