Monotonicity and existence of periodic orbits for projected dynamical systems on Hilbert spaces-Reference-Cited by-同舟云学术

Monotonicity and existence of periodic orbits for projected dynamical systems on Hilbert spaces

Published:2005-07-21 Issue:3 Volume:134 Page:793-804
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Cojocaru Monica-Gabriela

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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2006-134-03/S0002-9939-05-08006-8/S0002-9939-05-08006-8.pdf

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5. Existence of solutions to projected differential equations in Hilbert spaces;Cojocaru, Monica-Gabriela;Proc. Amer. Math. Soc.,2004

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