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Optimization
A Journal of Mathematical Programming and Operations Research
Volume 71, 2022 - Issue 4: Special issue dedicated to the 80th birthday of Professor Alexander Rubinov
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Articles

Turnpike properties of discrete dispersive dynamical systems with a Lyapunov function

Alexander J. ZaslavskiDepartment of Mathematics, Technion–Israel Institute of Technology, Haifa, IsraelCorrespondence[email protected]
Pages 791-810 | Received 02 Sep 2020, Accepted 23 Mar 2021, Published online: 13 Apr 2021

References

  • Rubinov AM. Magistral sets in discrete, disperse dynamical systems. Sib Math J. 1980;21:583–590.
  • Rubinov AM. Multivalued mappings and their applications in economic mathematical problems. Leningrad: Nauka; 1980.
  • Dzalilov Z, Zaslavski AJ. Global attractors for discrete disperse dynamical systems. J Nonlin Convex Anal. 2009;10:191–198.
  • Zaslavski AJ. Turnpike sets of continuous transformations in compact metric spaces. Sib Math J. 1982;23:136–146.
  • Zaslavski AJ. Uniform convergence to global attractors for discrete disperse dynamical systems. Nonlinear Dyn Syst Theory. 2007;7:315–325.
  • Zaslavski AJ. Convergence of trajectories of discrete dispersive dynamical systems. Commun Math Anal. 2008;4:10–19.
  • Zaslavski AJ. Structure of trajectories of discrete dispersive dynamical systems. Commun Math Anal. 2009;6:1–9.
  • Makarov VL, Rubinov AM. Mathematical theory of economic dynamics and equilibria. New York (NY): Springer-Verlag; 1977.
  • Zaslavski AJ. Turnpike properties in the calculus of variations and optimal control. New York (NY); Springer; 2006. (Nonconvex optimization and its applications).

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