On nonsmooth multivalent guiding functions
type: Item
instance of: scholarly article
title: On nonsmooth multivalent guiding functions
zbMATH Open document ID: 1079.34516
published in: Differential Equations
publication date: 2005-05-23T00:00:00Z
review text: The method of guiding functions developed by Krasnosel'skii, Perov, Bobylev, and others is one of the most efficient tools for establishing the existence of periodic oscillations. In the framework of this method, the guiding potentials are usually assumed to be continuously differentiable, which is restrictive for application in many cases. The paper shows a generalization of the method of multivalent vector guiding functions to the nonsmooth case.
Mathematics Subject Classification ID: 34C25
Mathematics Subject Classification ID: 34A60
Mathematics Subject Classification ID: 34B20
zbMATH DE Number: 2170188
zbMATH Keywords: method of guiding functions
zbMATH Keywords: periodic solutions
author: S. V. Kornev
author: Valerii V. Obukhovskij
reviewed by: Bozhidar Cheshankov
MaRDI profile type: Publication
full work available at URL: b:dieq.0000019349.33172.ee
OpenAlex ID: W1965286041
DOI: 10.1023/B:DIEQ.0000019349.33172.EE
description: scientific article; zbMATH DE number 2170188