Generalized transversality conditions for the Hahn quantum variational calculus

DOI10.1080/02331934.2011.579967zbMath1262.39011arXiv1202.0176OpenAlexW2056363357MaRDI QIDQ4916324

Agnieszka B. Malinowska, Natália Martins

Publication date: 22 April 2013

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1202.0176

zbMATH Keywords

calculus of variationsEuler-Lagrange equationquantum calculusHahn's difference operatorJackson-Norlünd's integralgeneralized natural boundary conditions

Mathematics Subject Classification ID

Difference operators (39A70) Difference equations, scaling ((q)-differences) (39A13) Optimality conditions for problems involving ordinary differential equations (49K15) Existence theories for free problems in one independent variable (49J05) Optimality conditions for free problems in one independent variable (49K05)

Related Items (18)

On nonlocal Robin boundary value problems for Riemann-Liouville fractional Hahn integrodifference equation ⋮ On a boundary value problem for fractional Hahn integro-difference equations with four-point fractional integral boundary conditions ⋮ On nonlocal fractional symmetric Hahn integral boundary value problems for fractional symmetric Hahn integrodifference equation ⋮ Nonlocal boundary value problems for second-order nonlinear Hahn integro-difference equations with integral boundary conditions ⋮ Variational methods for fractional \(q\)-Sturm-Liouville problems ⋮ Higher-order infinite horizon variational problems in discrete quantum calculus ⋮ Asymptotic iteration method for solving Hahn difference equations ⋮ Hermite-Hadamard inequalities for quantum integrals: a unified approach ⋮ On nonlocal Dirichlet boundary value problem for sequential Caputo fractional Hahn integrodifference equations ⋮ On fractional Hahn calculus ⋮ New concepts of fractional Hahn's \(q,\omega \)-derivative of Riemann-Liouville type and Caputo type and applications ⋮ Helmholtz theorem for nondifferentiable Hamiltonian systems in the framework of Cresson's quantum calculus ⋮ Existence results for fractional Hahn difference and fractional Hahn integral boundary value problems ⋮ Some inequalities based on a general quantum difference operator ⋮ On a nonlocal boundary value problem for nonlinear second-order Hahn difference equation with two different \(q,\omega\)-derivatives ⋮ Taylor theory associated with Hahn difference operator ⋮ The second Noether theorem on time scales ⋮ Existence results of nonlocal Robin mixed Hahn and \(q\)-difference boundary value problems

Cites Work

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• A non-classical class of variational problems
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• Second order \(q\)-difference equations solvable by factorization method
• On characterizations of classical polynomials
• Isoperimetric Problems on Time Scales with Nabla Derivatives
• Higher-Order Calculus of Variations on Time Scales
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• Natural boundary conditions in the calculus of variations
• Recent models in dynamic economics: problems of estimating terminal conditions
• Foundations of Dynamic Economic Analysis
• Über Orthogonalpolynome, die q‐Differenzengleichungen genügen

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