Nonpivot and Implicit Projected Dynamical Systems on Hilbert Spaces

作者: Monica Gabriela Cojocaru , Stephane Pia

DOI: 10.1155/2012/508570

关键词:

摘要: This paper presents a generalization of the concept and uses projected dynamical systems to case nonpivot Hilbert spaces. These are spaces in which topological dual space is not identified with base space. The consists showing existence such their relation variational problems, as inequalities. In usual these have been extensively studied, and, previous works, this new has motivated by applications, shown below.

参考文章(22)
Stavros Siokos, Anna Nagurney, Financial Networks: Statics and Dynamics ,(1997)
Patrizia Daniele, Dynamic networks and evolutionary variational inequalities Research Papers in Economics. ,(2006)
Eduardo Héctor Zarantonello, Projectors on convex sets in reflexive Banach spaces ,(1977)
Monica-Gabriela Cojocaru, Monotonicity and existence of periodic orbits for projected dynamical systems on Hilbert spaces Proceedings of the American Mathematical Society. ,vol. 134, pp. 793- 804 ,(2005) , 10.1090/S0002-9939-05-08006-8
Monica-Gabriela Cojocaru, Leo B. Jonker, Existence of solutions to projected differential equations in Hilbert spaces Proceedings of the American Mathematical Society. ,vol. 132, pp. 183- 193 ,(2003) , 10.1090/S0002-9939-03-07015-1
Annamaria Barbagallo, Monica-Gabriela Cojocaru, Dynamic equilibrium formulation of the oligopolistic market problem Mathematical and Computer Modelling. ,vol. 49, pp. 966- 976 ,(2009) , 10.1016/J.MCM.2008.02.003
George Isac, Monica G. Cojocaru, The projection operator in a Hilbert space and its directional derivative. Consequences for the theory of projected dynamical systems Journal of Function Spaces and Applications. ,vol. 2, pp. 71- 95 ,(2004) , 10.1155/2004/543714
Monica-Gabriela Cojocaru, Dynamic equilibria of group vaccination strategies in a heterogeneous population Journal of Global Optimization. ,vol. 40, pp. 51- 63 ,(2008) , 10.1007/S10898-007-9204-7
Monica-Gabriela Cojocaru, Patrizia Daniele, Anna Nagurney, Double-layered dynamics: A unified theory of projected dynamical systems and evolutionary variational inequalities European Journal of Operational Research. ,vol. 175, pp. 494- 507 ,(2006) , 10.1016/J.EJOR.2005.06.008