Stabilnost sustava diferencijskih jednadžbi

Jurković, Antonija (2015) Stabilnost sustava diferencijskih jednadžbi. Diploma thesis, Faculty of Science > Department of Mathematics.

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Abstract

In this graduate work we studied qualitative theory of systems of difference equations with special accent on equilibrium points. Systems of difference equations are extremely important because they describe numerous models in natural sciences, economy, engineering, etc. In this work we especially observed stability of equilibrium points of systems of equations. We also thoroughly observed different criteria of stability. In the first chapter we gave some basic stability theorems and we solved several examples of difference equations. The second chapter gives basic theory of systems of difference equations. In the third chapter we did the phase space analysis and we also defined Liapunov functions and applied the Liapunov theorem.

Item Type: Thesis (Diploma thesis)
Supervisor: Starčević, Maja
Date: 2015
Number of Pages: 44
Subjects: NATURAL SCIENCES > Mathematics
Divisions: Faculty of Science > Department of Mathematics
Depositing User: Iva Prah
Date Deposited: 20 Oct 2015 09:38
Last Modified: 20 Oct 2015 09:38
URI: http://digre.pmf.unizg.hr/id/eprint/4255

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