Isoperimetric Problems of the Calculus of Variations on Time Scales
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Publication:3060967
zbMath1222.49031arXiv0805.0278MaRDI QIDQ3060967
Delfim F. M. Torres, Rui A. C. Ferreira
Publication date: 13 December 2010
Full work available at URL: https://arxiv.org/abs/0805.0278
necessary optimality conditionSturm-Liouville eigenvalue problemsdelta-differentiable functionsisoperimetric problems on time scales
Discrete version of topics in analysis (39A12) Optimality conditions for problems involving ordinary differential equations (49K15)
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Hölderian variational problems subject to integral constraints ⋮ General fractional variational problem depending on indefinite integrals ⋮ Generalized fractional calculus with applications to the calculus of variations ⋮ Fractional isoperimetric Noether's theorem in the Riemann-Liouville sense ⋮ Optimality conditions for the calculus of variations with higher-order delta derivatives ⋮ Calculus of variations on time scales with nabla derivatives ⋮ First order conditions for generalized variational problems over time scales ⋮ Generalizing the variational theory on time scales to include the delta indefinite integral ⋮ Fractional variational problems depending on indefinite integrals ⋮ Fractional variational calculus with classical and combined Caputo derivatives ⋮ Mathematical analysis of a Cauchy problem for the time-fractional diffusion-wave equation with \( \alpha \in (0,2) \) ⋮ The second Noether theorem on time scales
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