Higher-order infinite horizon variational problems in discrete quantum calculus

DOI10.1016/j.camwa.2011.12.006zbMath1268.49031arXiv1112.0787OpenAlexW2050532816WikidataQ57650923 ScholiaQ57650923MaRDI QIDQ356127

Natália Martins, Delfim F. M. Torres

Publication date: 25 July 2013

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1112.0787

zbMATH Keywords

calculus of variationstransversality conditionsquantum calculusEulerinfinite horizon problemsLagrange difference equations

Mathematics Subject Classification ID

Difference equations, scaling ((q)-differences) (39A13) Optimality conditions for problems involving relations other than differential equations (49K21)

Related Items (5)

Necessary optimality conditions for higher-order infinite horizon variational problems on time scales ⋮ Complex backward-forward derivative operator in non-local-in-time Lagrangians mechanics ⋮ Necessary condition for an Euler-Lagrange equation on time scales ⋮ Helmholtz theorem for nondifferentiable Hamiltonian systems in the framework of Cresson's quantum calculus ⋮ The second Noether theorem on time scales

Cites Work

• Transversality conditions for infinite horizon optimality: higher order differential problems
• The Hahn quantum variational calculus
• Higher-order Hahn's quantum variational calculus
• Hölderian variational problems subject to integral constraints
• Constants of motion for non-differentiable quantum variational problems
• Optimality criteria for deterministic discrete-time infinite horizon optimization
• Generalized transversality conditions for the Hahn quantum variational calculus
• On Existence of Weakly Maximal Programmes in a Multi-Sector Economy
• Quantum calculus

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