In this paper we built a stability region around the origin for the Liénard equation (4) to ensure stability and boundedness of solutions of this equation, without making use of the classical Second Method of Lyapunov. We compare our result with some others proposed by different authors.
| Published in | Pure and Applied Mathematics Journal (Volume 3, Issue 4) |
| DOI | 10.11648/j.pamj.20140304.12 |
| Page(s) | 87-91 |
| Creative Commons |
This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
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Copyright © The Author(s), 2024. Published by Science Publishing Group |
Lyapunov, Trajectories, Asymptotic Equilibrium
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APA Style
Luciano Miguel Lugo, Juan Eduardo Nápoles Valdés, Samuel Iván Noya. (2014). On the Construction of Regions of Stability. Pure and Applied Mathematics Journal, 3(4), 87-91. https://doi.org/10.11648/j.pamj.20140304.12
ACS Style
Luciano Miguel Lugo; Juan Eduardo Nápoles Valdés; Samuel Iván Noya. On the Construction of Regions of Stability. Pure Appl. Math. J. 2014, 3(4), 87-91. doi: 10.11648/j.pamj.20140304.12
AMA Style
Luciano Miguel Lugo, Juan Eduardo Nápoles Valdés, Samuel Iván Noya. On the Construction of Regions of Stability. Pure Appl Math J. 2014;3(4):87-91. doi: 10.11648/j.pamj.20140304.12
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Download@article{10.11648/j.pamj.20140304.12,
author = {Luciano Miguel Lugo and Juan Eduardo Nápoles Valdés and Samuel Iván Noya},
title = {On the Construction of Regions of Stability},
journal = {Pure and Applied Mathematics Journal},
volume = {3},
number = {4},
pages = {87-91},
doi = {10.11648/j.pamj.20140304.12},
url = {https://doi.org/10.11648/j.pamj.20140304.12},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.pamj.20140304.12},
abstract = {In this paper we built a stability region around the origin for the Liénard equation (4) to ensure stability and boundedness of solutions of this equation, without making use of the classical Second Method of Lyapunov. We compare our result with some others proposed by different authors.},
year = {2014}
}
TY - JOUR T1 - On the Construction of Regions of Stability AU - Luciano Miguel Lugo AU - Juan Eduardo Nápoles Valdés AU - Samuel Iván Noya Y1 - 2014/08/30 PY - 2014 N1 - https://doi.org/10.11648/j.pamj.20140304.12 DO - 10.11648/j.pamj.20140304.12 T2 - Pure and Applied Mathematics Journal JF - Pure and Applied Mathematics Journal JO - Pure and Applied Mathematics Journal SP - 87 EP - 91 PB - Science Publishing Group SN - 2326-9812 UR - https://doi.org/10.11648/j.pamj.20140304.12 AB - In this paper we built a stability region around the origin for the Liénard equation (4) to ensure stability and boundedness of solutions of this equation, without making use of the classical Second Method of Lyapunov. We compare our result with some others proposed by different authors. VL - 3 IS - 4 ER -
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