Uniformly bounded solutions of functional differential equations
type: Item
instance of: scholarly article
title: Uniformly bounded solutions of functional differential equations
zbMATH Open document ID: 0807.34084
author: Katsumasa Kobayashi
published in: Tokyo Journal of Mathematics
publication date: 1994-09-28T00:00:00Z
review text: The author proves the uniform boundedness and the ultimate uniform boundedness of the solutions of the system of functional differential equations \(x'= f(t,x_ t)\), where \(x_ t(s)= x(t+ s)\), \(-h\leq s\leq 0\), \(f: \mathbb{R}_ +\times C\to \mathbb{R}^ n\), \(C\) is the space of continuous functions \(\varphi: [-h,0]\to \mathbb{R}^ n\).
Mathematics Subject Classification ID: 34K99
Mathematics Subject Classification ID: 34D40
zbMATH DE Number: 645689
zbMATH Keywords: ultimate uniform boundedness
zbMATH Keywords: functional differential equations
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.3836/tjm/1270128191
OpenAlex ID: W2065768812
DOI: 10.3836/TJM/1270128191
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description: scientific article; zbMATH DE number 645689