doi: 10.17706/ijapm.2015.5.4.252-258
On the Asymptotic Stability of Some Particular Differential Equations
Necdet Bildik
,
- Celal Bayar University, Faculty of Arts and Science, Department of Mathematics, Muradiye Campus, 45030, Manisa, Turkey
Abstract
The importance of differential equations in scientific world is a crystal-clear fact. Many problems in physics, ecology, biology, engineering etc. can be modeled by ordinary differential equations and very few of them can be solved in terms of elementary functions. However, it is possible to reveal the main features of the solutions by the help of qualitative methods. In this study, we try to show that the conditions for some nonlinear equations to be asymptotically stable.
Keywords
- Liapunov's second method
- ordinary differential equations
- stability analysis
How to Cite
Necdet Bildik and Sinan Deniz, "On the Asymptotic Stability of Some Particular Differential Equations," International Journal of Applied Physics and Mathematics, vol. 5, no. 4, pp. 252-258, 2015. https://doi.org/ 10.17706/ijapm.2015.5.4.252-258
Copyright & License
Copyright © 2015 by the authors. This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).