Abstract
AbstractThis paper studies the existence of affine-periodic solutions which have the form of $x(t+T)=Qx(t)$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 existence theorem, asymptotic and homotopy equivalence approaches are given.
Funder
NSFC
Jilin Scientific and Technological Development Program
China Postdoctoral Science Foundation
Fundamental Research Funds for the Central Universities
Publisher
Springer Science and Business Media LLC
Subject
Algebra and Number Theory,Analysis
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