Existence of solutions for neutral functional differential equations with causal operators
type: Item
instance of: scholarly article
title: Existence of solutions for neutral functional differential equations with causal operators
zbMATH Open document ID: 0972.34067
published in: Journal of Differential Equations
publication date: 2001-11-13T00:00:00Z
review text: The following neutral equation is considered \[ {d\over dt}\Bigl[ x(t)+g\biggl( x\bigl(\alpha (t)\bigr)\biggr) \Bigr]=(Wx)(t),\quad\alpha (t)\leq t,\;\alpha(0)= 0,\quad x(0)=x^0,\;x^0\in\mathbb{R}^n. \] Under standard conditions, in the space of continuous functions, local theorems of existence and uniqueness are proved.
Mathematics Subject Classification ID: 34K40
zbMATH DE Number: 1556503
zbMATH Keywords: neutral equation
zbMATH Keywords: existence
zbMATH Keywords: uniqueness
author: Constantin Corduneanu
reviewed by: T. Tadumadze
MaRDI profile type: Publication
full work available at URL: jdeq.2000.3879
OpenAlex ID: W2027911402
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DOI: 10.1006/JDEQ.2000.3879
description: scientific article; zbMATH DE number 1556503