Solutions Almost Periodic at Infinity to Differential Equations With Unbounded Operator Coefficients

被引：1

作者：

A. G. Baskakov

I. I. Strukova

I. A. Trishina

机构：

[1] Voronezh State University,

来源：

Siberian Mathematical Journal | 2018年 / 59卷

关键词：

functions almost periodic at infinity; Banach modules; differential equations with unbounded operator coefficients; function spectrum; operator spectrum; operator semigroups;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

The new class of functions almost periodic at infinity is defined using the subspace of functions with integrals decreasing at infinity. We obtain spectral criteria for almost periodicity at infinity of bounded solutions to differential equations with unbounded operator coefficients. For the new class of asymptotically finite operator semigroups we prove the almost periodicity at infinity of their orbits.

引用

页码：231 / 242

页数：11

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