Uniform boundedness of solutions to functional differential equations with infinite delay
type: Item
instance of: scholarly article
title: Uniform boundedness of solutions to functional differential equations with infinite delay
zbMATH Open document ID: 0899.34041
published in: Chinese Science Bulletin
publication date: 1998-11-10T00:00:00Z
review text: The author deals with solutions to functional-differential equations with infinite delay (1) \(x'=f(t,x_t)\) which are uniformly bounded and uniformly ultimate bounded with respect to spaces \(C_g\) of unbounded initial functions. The author establishes conditions which improve slightly \textit{R. H. Hering}'s one [J. Math. Anal. Appl. 163, No. 2, 521-535 (1992; Zbl 0755.34064)]. Neither a reference on the existence of solutions to (1) is explicit nor a proof is presented.
Mathematics Subject Classification ID: 34K99
Mathematics Subject Classification ID: 34C11
Mathematics Subject Classification ID: 34K05
Mathematics Subject Classification ID: 34D40
zbMATH DE Number: 908263
zbMATH Keywords: functional equation
zbMATH Keywords: uniformly bounded
zbMATH Keywords: uniformly ultimate bounded
author: Quichang Huang
reviewed by: A. J. B. Lopes-Pinto
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 908263