The delta-nabla calculus of variations

zbMath1213.49024arXiv0912.0494MaRDI QIDQ3061984

Agnieszka B. Malinowska, Delfim F. M. Torres

Publication date: 3 January 2011

Full work available at URL: https://arxiv.org/abs/0912.0494

zbMATH Keywords

Euler-Lagrange equationstime scalescalculus of variations

Mathematics Subject Classification ID

Time-scale analysis and singular perturbations in control/observation systems (93C70) Discrete version of topics in analysis (39A12) Optimality conditions for free problems in one independent variable (49K05) Dynamic equations on time scales or measure chains (34N05)

Related Items (5)

Noether's symmetry theorem for nabla problems of the calculus of variations ⋮ First order conditions for generalized variational problems over time scales ⋮ Existence of positive solutions for discrete delta-nabla fractional boundary value problems with \(p\)-Laplacian ⋮ Noether's theorems for nonshifted dynamic systems on time scales ⋮ Existence results of fractional delta-nabla difference equations via mixed boundary conditions

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