Necessary optimality conditions for higher-order infinite horizon variational problems on time scales

DOI10.1007/S10957-012-0065-YzbMath1280.49009arXiv1204.3329OpenAlexW2062901971WikidataQ57650940 ScholiaQ57650940MaRDI QIDQ1935308

Delfim F. M. Torres, Natália Martins

Publication date: 14 February 2013

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1204.3329

zbMATH Keywords

Euler-Lagrange equationstime scalescalculus of variationstransversality conditionsinfinite horizon problems

Mathematics Subject Classification ID

Optimality conditions for problems involving relations other than differential equations (49K21) Existence theories for optimal control problems involving relations other than differential equations (49J21)

Related Items (7)

Stability of a turnpike phenomenon for approximate solutions of nonautonomous discrete-time optimal control systems ⋮ Higher-order variational problems of Herglotz type ⋮ Variational approach to second-order impulsive dynamic equations on time scales ⋮ Nonsymmetric and symmetric fractional calculi on arbitrary nonempty closed sets ⋮ The second Noether theorem on time scales ⋮ Variational problems for Hölderian functions with free terminal point ⋮ General necessary conditions for infinite horizon fractional variational problems

Cites Work

• Unnamed Item
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• Higher-order infinite horizon variational problems in discrete quantum calculus
• Calculus of variations on time scales with nabla derivatives
• Transversality conditions for infinite horizon optimality: higher order differential problems
• Optimality conditions for the calculus of variations with higher-order delta derivatives
• Transversality conditions for infinite horizon variational problems on time scales
• Euler-Lagrange equations for composition functionals in calculus of variations on time scales
• A production-inventory model of HMMS on time scales
• An application of time scales to economics
• Optimality criteria for deterministic discrete-time infinite horizon optimization
• Turnpike properties in the calculus of variations and optimal control
• First and second order linear dynamic equations on time scales
• Isoperimetric Problems on Time Scales with Nabla Derivatives
• Higher-Order Calculus of Variations on Time Scales
• On Existence of Weakly Maximal Programmes in a Multi-Sector Economy
• Quantum calculus

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