New qualitative results for solutions of functional differential equations of second order
type: Item
instance of: scholarly article
title: New qualitative results for solutions of functional differential equations of second order
zbMATH Open document ID: 1417.34166
DOI: 10.1155/2018/3151742
author: Cemil Tunç
author: Sultan Erdur
author: A. Q. Khan
published in: Discrete Dynamics in Nature and Society
publication date: 2019-02-20T00:00:00Z
review text: Summary: In this paper, we are concerned with the existence of periodic solutions, stability of zero solution, asymptotic stability of zero solution, square integrability of the first derivative of solutions, and boundedness of solutions of nonlinear functional differential equations of second order by the second method of Lyapunov. We obtain sufficient conditions guaranteeing the existence of periodic solutions, stability of zero solution, asymptotic stability of zero solution, square integrability of the first derivative of solutions, and boundedness of solutions of the equations considered. We give an example for illustrations by MATLAB-Simulink, which shows the behaviors of the orbits. The findings of this paper extend and improve some results that can be found in the literature.
Mathematics Subject Classification ID: 34K13
Mathematics Subject Classification ID: 34K12
Mathematics Subject Classification ID: 34K20
zbMATH DE Number: 7026543
describes a project that uses: Simulink
describes a project that uses: Matlab
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/3151742
OpenAlex ID: W2895926754
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description: scientific article; zbMATH DE number 7026543