Stability of autonomous and non autonomous differential equations
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2013
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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
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.
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