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Monotonicity and existence of periodic orbits for projected dynamical systems on Hilbert spaces
Author(s):
Monica-Gabriela
Cojocaru
Journal:
Proc. Amer. Math. Soc.
134
(2006),
793-804.
MSC (2000):
Primary 34A36, 34C25, 49J40;
Secondary 37N40, 34A60
Posted:
July 21, 2005
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Abstract:
We present here results about the existence of periodic orbits for projected dynamical systems (PDS) under Minty-Browder monotonicity conditions. The results are formulated in the general context of a Hilbert space of arbitrary (finite or infinite) dimension. The existence of periodic orbits for such PDS is deduced by means of nonlinear analysis, using a fixed point approach. It is also shown how occurrence of periodic orbits is intimately related to that of critical points (equilibria) of a PDS in certain cases.
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Additional Information:
Monica-Gabriela
Cojocaru
Affiliation:
Department of Mathematics and Statistics, MacNaughton Hall, Room 548, University of Guelph, Guelph, Ontario, Canada N1G 2W1
Email:
mcojocar@uoguelph.ca
DOI:
10.1090/S0002-9939-05-08006-8
PII:
S 0002-9939(05)08006-8
Received by editor(s):
August 12, 2004
Received by editor(s) in revised form:
October 6, 2004 and October 18, 2004
Posted:
July 21, 2005
Additional Notes:
This research was funded by NSERC Discovery Grant No. 045997.
Communicated by:
Carmen C. Chicone
Copyright of article:
Copyright
2005,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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