Almost-periodic solutions of differential-operator equations
type: Item
instance of: scholarly article
title: Almost-periodic solutions of differential-operator equations
zbMATH Open document ID: 0531.34036
DOI: 10.1007/BF00971551
published in: Siberian Mathematical Journal
publication date: 1984-01-01T00:00:00Z
review text: In the paper is proposed a simple method which enables to obtain sufficient conditions for the existence of various classes of almost- periodic solutions of the equations of the type \(P(d/dt)u=\sum^{m}_{k=0}A_ kd^ ku/dt^ k=f,\) \(t\in {\mathbb{R}}\), where \(A_ k\in L(D,X)\) and f is an almost periodic function with values in the Banach space X. Here L(D,X) is the space of bounded linear operators from D into X, where D and X are complex Banach spaces.
Mathematics Subject Classification ID: 34C27
Mathematics Subject Classification ID: 47E05
Mathematics Subject Classification ID: 34G10
zbMATH DE Number: 3842305
zbMATH Keywords: fundamental solution
zbMATH Keywords: complex Banach spaces
author: Anatoly N. Kochubei
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf00971551
OpenAlex ID: W1963907428
description: scientific article; zbMATH DE number 3842305