Title | BRANCHES OF HARMONIC SOLUTIONS FOR A CLASS OF PERIODIC DIFFERENTIAL-ALGEBRAIC EQUATIONS |
Publication Type | Journal Article |
Year of Publication | 2011 |
Authors | CALAMAI, ALESSANDRO |
Secondary Title | Communications in Applied Analysis |
Volume | 15 |
Issue | 3 |
Start Page | 273 |
Pagination | 282 |
Date Published | 08/2011 |
Type of Work | scientific: mathematics |
ISSN | 1083–2564 |
AMS | 34A09, 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.
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URL | http://www.acadsol.eu/en/articles/15/3/1.pdf |
Short Title | BRANCHES OF HARMONIC SOLUTIONS |
Refereed Designation | Refereed |
Full Text | REFERENCES[1] M. Furi and M.P. Pera, Caratheodory periodic perturbations of the zero vector field on manifolds, Topological Meth. in Nonlin. Anal. 10 (1997), 79–92.
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