Conditionally Periodic Solutions of an Inhomogeneous Linear System Of Differential Equations with Conditionally Periodic Coefficients

We study the existence of a conditionally periodic solution of a linear system with a Stepanov conditionally periodic inhomogeneity. We prove that if this system has a bounded solution, then almost every system in its H -class has a bounded Besicovitch conditionally periodic solution.

Saved in:
Bibliographic Details
Published in:Differential equations 2017-12, Vol.53 (12), p.1543-1548
Main Author: Kozlov, Yu. D.
Format: Article
Language:English
Subjects:
Difference and Functional Equations
Differential equations
Inhomogeneity
Mathematics
Mathematics and Statistics
Ordinary Differential Equations
Partial Differential Equations
System theory
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We study the existence of a conditionally periodic solution of a linear system with a Stepanov conditionally periodic inhomogeneity. We prove that if this system has a bounded solution, then almost every system in its H -class has a bounded Besicovitch conditionally periodic solution.
ISSN:0012-2661
1608-3083
DOI:10.1134/S0012266117120023