Structure of extremals of autonomous convex variational problems

DOI10.1016/j.nonrwa.2006.05.006zbMath1186.49008OpenAlexW2084164127MaRDI QIDQ2371011

Zaslavski, Alexander J.

Publication date: 29 June 2007

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2006.05.006

zbMATH Keywords

infinite horizongood functionTurnpike propertyovertaking optimal function

Mathematics Subject Classification ID

Methods involving semicontinuity and convergence; relaxation (49J45) Variational principles of physics (49S05)

Related Items (2)

Optimal solutions for a class of infinite horizon variational problems with extended-valued integrands ⋮ Structure of approximate solutions of variational problems with extended-valued convex integrands

Cites Work

• The discrete Frenkel-Kontorova model and its extensions: I. Exact results for the ground-states
• Infinite horizon autonomous systems with unbounded cost
• One-dimensional infinite-horizon variational problems arising in continuum mechanics
• On the thermodynamics of periodic phases
• Lyapunov sequences and a turnpike theorem without convexity
• The structure of extremals of a class of second order variational problems
• Optimal solutions of linear periodic control systems with convex integrands
• Optimality in infinite-horizon variational problems under sign conditions
• Existence and structure of optimal solutions of infinite-dimensional control problems
• The value-function of an infinite-horizon linear-quadratic problem
• The structure of approximate solutions of variational problems without convexity
• GROUND STATES IN A MODEL OF FRENKEL-KONTOROVA TYPE
• Turnpike Theory
• On the structure of a class of time‐optimal trajectories
• Optimal Solutions of Linear Control Systems with Nonperiodic Convex Integrands
• Dynamic properties of optimal solutions of variational problems
• Existence and uniform boundedness of optimal solutions of variational problems
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