Solutions of Difference Equations Almost Periodic at Infinity

被引：0

作者：

Vysotskaya I.A. ^{[1
]}

机构：

[1] Voronezh State University, Voronezh

来源：

Journal of Mathematical Sciences | 2022年 / 263卷 / 5期

关键词：

39A24; difference equation; function almost periodic at infinity; function integrally decreasing at infinity; function slowly changing at infinity;

D O I：

10.1007/s10958-022-05954-1

中图分类号：

学科分类号：

摘要：

We consider a new class of functions almost periodic at infinity defined by using the subspace of functions that integrally decrease at infinity. We propose four definitions of functions almost periodic at infinity and prove their equivalence. Also, we obtain spectral criteria of almost periodicity at infinity of bounded solutions of systems of linear difference equations and their asymptotic representation. © 2022, Springer Science+Business Media, LLC, part of Springer Nature.

引用

页码：635 / 642

页数：7

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