Stability of autonomous and non autonomous differential equations
2013
0 views
0 downloads
Abstract (EN)
ABSTRACT: In this thesis, we dealt with Autonomous and non Autonomous systems of ordinary differential equations and the stability properties of their solutions were discussed with some basic results. We also discussed and analyzed methods of investigating the stability of nonlinear systems and classified equilibrium points (critical points) of linear systems with respect to their stability. Liapounov's direct method for stability of Autonomous and non Autonomous Equations was analyzed in detail. Some important Ecological applications such as Lotka-Volterra Competition Model and Predator-Prey Model modeled by differential Equations were discussed in details with relevant examples. Keywords : Autonomous and Non Autonomous differential equations, Stability, Predator-prey Model, Equilibrium points, Liapounov's Direct Method. …………………………………………………………………………………………………………………………………………………………………………………………………………
Author
Dr. Olivia Ada Obi
How to Cite
Olivia Ada Obi (Master Thesis). Stability of autonomous and non autonomous differential equations, 2013, Eastern Mediterranean University, Department of Mathematics.
Keywords
License
Tüm Hakları Saklıdır
This work is shared under the specified license terms.
More theses from Eastern Mediterranean University
- An Investigation on Time and Cost Overrun in Construction Projects(2012)
- Radial Power-Law Position-dependent Mass, Cylindrical Coordinates, Spectral Signatures(2015)
- Predicting performance level of reinforced concrete structures subject to corrosion as a function of time(2012)
- Discussion of Conservation Approaches for the Selected Heritage Buildings in the Walled City of Famagusta(2019)
- High School Students' Learning Styles in North Cyprus(2011)
- Afyonkarahisar İl Merkezinde Yaşayan 18 Yaş ve Üzeri Kadınların Diyet Posasıyla İlgili Bilgi Düzeylerinin ve Posa Alım Miktarlarının Belirlenmesi(2018)