Dipartimento di Sistemi e Informatica
Universitá di Firenze
Via Santa Marta 3, 50139 Firenze, Italy
email: luca.bisconti@unifi.it
Luca Bisconti
Abstract:
We study the properties of periodic solutions of a class
of periodically perturbed Differential-Algebraic Equations with
separated variables. Under suitable hypotheses, these equations are
equivalent to separated variables ODEs on a manifold. By combining
known results on Differential-Algebraic Equations, with an argument
about ODEs on manifolds, we obtain a global continuation result for
the T-periodic solutions to the considered equations. As an
application of our method, a multiplicity result is provided.
Submitted December 2, 2011. Published January 2, 2012.
Math Subject Classifications: 34A09, 34C25, 34C40.
Key Words: Differential-algebraic equations; periodic solutions;
ordinary differential equations on manifolds;
degree of a vector field.
Show me the PDF file (307 KB), TEX file, and other files for this article.
|
Luca Bisconti Dipartimento di Sistemi e Informatica Universitá di Firenze Via Santa Marta 3, 50139 Firenze, Italy email: luca.bisconti@unifi.it |
|---|
Return to the EJDE web page