On the Favard Theory Without H -Classes for Differential-Functional Equations in Banach Spaces

We establish necessary and sufficient conditions for the existence and uniqueness of solutions bounded on the real axis with precompact sets of values of linear almost periodic differential-functional equations in Banach spaces.

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Bibliographic Details
Published in:Ukrainian mathematical journal 2019-12, Vol.71 (7), p.1087-1104
Main Author: Slyusarchuk, V. Yu
Format: Article
Language:English
Subjects:
Algebra
Analysis
Applications of Mathematics
Banach spaces
Differential equations
Functional equations
Geometry
Mathematical analysis
Mathematics
Mathematics and Statistics
Statistics
Online Access:Get full text
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Description
Summary:We establish necessary and sufficient conditions for the existence and uniqueness of solutions bounded on the real axis with precompact sets of values of linear almost periodic differential-functional equations in Banach spaces.
ISSN:0041-5995
1573-9376
DOI:10.1007/s11253-019-01700-0