Euler-Lagrange equations for composition functionals in calculus of variations on time scales

DOI10.3934/dcds.2011.29.577zbMath1209.49017arXiv1007.0584OpenAlexW3103381311WikidataQ57651005 ScholiaQ57651005MaRDI QIDQ632322

Agnieszka B. Malinowska, Delfim F. M. Torres

Publication date: 15 March 2011

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1007.0584

zbMATH Keywords

Euler-Lagrange equationstime scalescalculus of variationsisoperimetric problemsnatural boundary conditionscomposition functionals

Mathematics Subject Classification ID

Discrete version of topics in analysis (39A12) Optimality conditions for free problems in one independent variable (49K05) Optimality conditions (49K99)

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Composition functionals in higher order calculus of variations and Noether's theorem ⋮ Static state feedback linearization of nonlinear control systems on homogeneous time scales ⋮ Noether-type conserved quantities on time scales for Birkhoffian systems with delayed arguments ⋮ Necessary optimality conditions for higher-order infinite horizon variational problems on time scales ⋮ First order conditions for generalized variational problems over time scales ⋮ A general backwards calculus of variations via duality ⋮ Unnamed Item ⋮ Sufficiency and sensitivity for nonlinear optimal control problems on time scales via coercivity ⋮ Sequential decision problems on isolated time domains ⋮ Dynamics symmetries of Hamiltonian system on time scales ⋮ Noether theorem for non-conservative systems with time delay on time scales ⋮ The existence of solutions for dynamic inclusions on time scales via duality ⋮ Hamilton-Jacobi method for mechanical systems on time scales

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