Multiple solutions with prescribed minimal period for second order odd Newtonian systems with symmetries
type: Item
instance of: scholarly article
title: Multiple solutions with prescribed minimal period for second order odd Newtonian systems with symmetries
zbMATH Open document ID: 1366.34059
DOI: 10.12775/TMNA.2016.024
author: Yanli Lv
author: Huafeng Xiao
author: Wieslaw Krawcewicz
published in: Topological Methods in Nonlinear Analysis
publication date: 2017-04-04T00:00:00Z
review text: The authors explore the title subject in detail. The objective is to demonstrate the existence of multiple periodic solutions with a given minimal period for Newtonian systems, where the \(n\)-fold accelerations are equal to the gradient of a tightly restricted functional. The paper is very specialized and theoretical. It assumes that the reader already has some knowledge of the subject matter. Even so, the paper is well-written and concise with several proofs. It represents an advancement of the knowledge of second order odd Newtonian systems. The paper is likely to be of greatest interest to theoreticians working with the title problem and with ordinary differential equations.
reviewed by: Ronald L. Huston
Mathematics Subject Classification ID: 34C25
Mathematics Subject Classification ID: 34C14
zbMATH DE Number: 6700702
zbMATH Keywords: ordinary differential equations
zbMATH Keywords: Newtonian systems
MaRDI profile type: Publication
full work available at URL: tmna.2016.024
OpenAlex ID: W2314940508
description: scientific article; zbMATH DE number 6700702