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Axioms 2012, 1(3), 384-394; doi:10.3390/axioms1030384
Article

On the Equilibria of Generalized Dynamical Systems

Department of Mathematics, Informatics and Training Sciences, Faculty of Sciences, “Vasile Alecsandri” Bacău University, Calea Marasesti 157, 600115, Bacău, Romania
Received: 24 September 2012 / Revised: 26 November 2012 / Accepted: 26 November 2012 / Published: 6 December 2012
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Abstract

This research work presents original properties of the equilibrium critical (ideal) points sets for an important class of generalized dynamical systems. The existence and significant results regarding such points are specified. Strong connections with the Vector Optimization by the Efficiency and the Potential Theory together with its applications following Choquet’s boundaries are provided.
Keywords: Isac’s cone; dynamical system; critical point; efficiency; Choquet’s boundary Isac’s cone; dynamical system; critical point; efficiency; Choquet’s boundary
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Postolică, V. On the Equilibria of Generalized Dynamical Systems. Axioms 2012, 1, 384-394.

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