On periodic solutions of autonomous systems
type: Item
instance of: scholarly article
title: On periodic solutions of autonomous systems
zbMATH Open document ID: 1404.34047
author: Serikbai A. Aisagaliev
published in: Journal of Mathematical Sciences (New York)
publication date: 2018-03-28T00:00:00Z
review text: The author considers the periodic problem of autonomous dynamical systems described by ordinary differential equations with phase and integral restrictions as a boundary-value problem with restrictions. By introducing a fictitious control, the boundary-value problem is transformed into a control problem for dynamical systems with phase and integral restrictions. The control problem is solved by reducing it to an integral Fredholm equation of the first kind. The author establishes necessary and sufficient conditions for the existence of periodic solutions and propose an algorithm for finding periodic solution according to the limit points of the minimizing sequences.
Mathematics Subject Classification ID: 34C25
Mathematics Subject Classification ID: 34H05
Mathematics Subject Classification ID: 34A45
zbMATH DE Number: 6854257
zbMATH Keywords: dynamical system
zbMATH Keywords: periodic solution
zbMATH Keywords: integral restrictions
zbMATH Keywords: control problem
MaRDI profile type: Publication
full work available at URL: s10958-018-3681-8
OpenAlex ID: W2789893747
cites work: Q5588449
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DOI: 10.1007/S10958-018-3681-8
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description: scientific article; zbMATH DE number 6854257