BRANCHES OF HARMONIC SOLUTIONS FOR A CLASS OF PERIODIC DIFFERENTIAL-ALGEBRAIC EQUATIONS

TitleBRANCHES OF HARMONIC SOLUTIONS FOR A CLASS OF PERIODIC DIFFERENTIAL-ALGEBRAIC EQUATIONS
Publication TypeJournal Article
Year of Publication2011
AuthorsCALAMAI, ALESSANDRO
Secondary TitleCommunications in Applied Analysis
Volume15
Issue3
Start Page273
Pagination282
Date Published08/2011
Type of Workscientific: mathematics
ISSN1083–2564
AMS34A09, 34C25, 34C40.
Abstract
We study a class of T -periodic parametrized differential-algebraic equations, which are equivalent to suitable ordinary differential equations on manifolds. By combining a recent result on the degree of tangent vector fields, due to Spadini, with an argument on periodic solutions of ODEs on manifolds, we get a global continuation result for T -periodic solutions of our equations.
URLhttp://www.acadsol.eu/en/articles/15/3/1.pdf
Short TitleBRANCHES OF HARMONIC SOLUTIONS
Refereed DesignationRefereed
Full Text

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