The contingent epiderivative and the calculus of variations on time scales

DOI10.1080/02331934.2010.506615zbMath1239.49025arXiv1007.0509OpenAlexW3102886975WikidataQ57650956 ScholiaQ57650956MaRDI QIDQ3225081

Delfim F. M. Torres, Agnieszka B. Malinowska, Ewa Girejko

Publication date: 15 March 2012

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1007.0509

zbMATH Keywords

Euler-Lagrange equationscontingent derivativetime scalescalculus of variationscontingent epiderivativedelta and nabla calculi

Mathematics Subject Classification ID

Optimality conditions for free problems in one independent variable (49K05) Dynamic equations on time scales or measure chains (34N05) Real analysis on time scales or measure chains (26E70)

Related Items (11)

Discrete calculus of variations for quadratic Lagrangians ⋮ Optimality conditions for the calculus of variations with higher-order delta derivatives ⋮ On consensus in the Cucker-Smale type model on isolated time scales ⋮ Static state feedback linearization of nonlinear control systems on homogeneous time scales ⋮ Generalizing the variational theory on time scales to include the delta indefinite integral ⋮ Existence of three positive solutions to some \(p\)-Laplacian boundary value problems ⋮ Time scale in least square method ⋮ Dynamics symmetries of Hamiltonian system on time scales ⋮ The second Noether theorem on time scales ⋮ Variational problems for Hölderian functions with free terminal point ⋮ Krause's model of opinion dynamics on isolated time scales

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• GENERALIZED CONTINGENT EPIDERIVATIVES IN SET-VALUED OPTIMIZATION: OPTIMALITY CONDITIONS

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