Vibrocorrect differential equations with measures
type: Item
instance of: scholarly article
title: Vibrocorrect differential equations with measures
zbMATH Open document ID: 0609.34004
DOI: 10.1007/BF01137471
published in: Mathematical Notes
publication date: 1985-01-01T00:00:00Z
review text: Let \(AC_ m\) denote the space of m-dimensional absolutely continuous functions. The author shows that if the function F(x,u,\D{u},t), with \(U\in AC_ m\), is linear in \D{u}, continuous in all its variables and satisfies the Lipschitz condition in x, then a unique solution \(x(t)=V[u(t)]\) of the differential equation, \(\dot x=F(x,u(t),u(t),t),\) \(x(t_ 0)=x_ 0\) exists for all \(t\geq t_ 0\).
Mathematics Subject Classification ID: 34A12
zbMATH DE Number: 3985643
zbMATH Keywords: first order differential equation
zbMATH Keywords: absolutely continuous functions
zbMATH Keywords: Lipschitz condition
author: Yu. V. Orlov
reviewed by: Olusola Akinyele
MaRDI profile type: Publication
cites work: Q5628553
cites work: Generalized ordinary differential equations
cites work: Q3264374
cites work: Q4180636
full work available at URL: https://doi.org/10.1007/bf01137471
OpenAlex ID: W2090212201
description: scientific article; zbMATH DE number 3985643