Analysis of Boundary Value Problem for a System of Nonhogeneous Ode's: On the Direct Lefschetz Stability Criterion for a System of Nonhomogeneous Linear Ode's with Variable Coefficients - Couverture souple

Makhabane, Paul Sunnyboy; Hlomuka, Joe

 
9783659418358: Analysis of Boundary Value Problem for a System of Nonhogeneous Ode's: On the Direct Lefschetz Stability Criterion for a System of Nonhomogeneous Linear Ode's with Variable Coefficients
Couverture souple
ISBN 10 : 3659418358 ISBN 13 : 9783659418358
Editeur : LAP LAMBERT Academic Publishing, 2014

Synopsis

In most studies of stability, asymptotic stability appears to be the most common approach. This is because asymptotic stability implies stability; however, the reverse is not true. In most cases it is easier to confirm asymptotic stability than stability. The method whereby stability is studied without asymptotic stability is referred to as a direct stability method. We have chosen the Lefschetz direct stability method; modified it to suit our problem at hand. The direct method requires the construction of a Lyapunov function; not easy for a non-dynamic problem. For a dynamic problem the energy thereof is a suitable candidate for a Lyapunov function. For a non-dynamic problem it is harder to construct a Lyapunov function as there are no rules for the purpose. In this presentation we modify the Lefschetz system for the direct stability method and apply it to study the stability of a system of linear first order ODEs with variable coefficients.

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Éditeur
LAP LAMBERT Academic Publishing
Date d'édition
2014
Langue
anglais
ISBN 10 
3659418358
ISBN 13 
9783659418358
Reliure
Broché
Nombre de pages
52
Coordonnées du fabricant
non disponible
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