Higher-order variational problems of Herglotz type with time delay

zbMath1341.49024arXiv1603.04034MaRDI QIDQ2812237

Simão P. S. Santos, Delfim F. M. Torres, Natália Martins

Publication date: 16 June 2016

Full work available at URL: https://arxiv.org/abs/1603.04034

zbMATH Keywords

invarianceEuler-Lagrange equationsNoether's theoremDuBois-Reymond conditionhigher-order variational problemsHerglotz problemsretarded control problems

Mathematics Subject Classification ID

Control problems involving ordinary differential equations (34H05) Optimality conditions for problems involving ordinary differential equations (49K15) Variational principles of physics (49S05) Optimality conditions for free problems in one independent variable (49K05)

Related Items (5)

Fractional Herglotz variational principles with generalized Caputo derivatives ⋮ Noether currents for higher-order variational problems of Herglotz type with time delay ⋮ Fractional Herglotz variational problems of variable order ⋮ Variational and optimal control approaches for the second-order Herglotz problem on spheres ⋮ A non-standard class of variational problems of Herglotz type

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