Title of article
A Computational Method for the Stability of a Class of Mechanical Systems
Author/Authors
Angelo Barone-Netto، نويسنده , , Mauro de Oliveira Cesar، نويسنده , , Gianluca Gorni and Gaetano Zampieri، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2002
Pages
19
From page
1
To page
19
Abstract
In this work, we obtain criteria for the stability of the origin for the system , where f,g are positive in a neighbourhood of 0 . We start with abstract necessary and sufficient conditions, and develop them into practical explicit conditions in terms of inequalities involving the successive derivatives of f(x), g(x) up to order 2 at x=0. Some examples are worked out.
Keywords
Lyapunov Stability , Hill’s equations , Mathieu’s equations , Sturm equations. , Whittaker’sequations
Journal title
JOURNAL OF DIFFERENTIAL EQUATIONS
Serial Year
2002
Journal title
JOURNAL OF DIFFERENTIAL EQUATIONS
Record number
750277
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