Dualization of the Euler and Hamiltonian inclusions

DOI10.1016/S0362-546X(99)00238-2zbMath1004.49016OpenAlexW2014237766MaRDI QIDQ5930172

Richard B. Vinter, Yuri S. Ledyaev, D. N. Bessis

Publication date: 1 February 2003

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0362-546x(99)00238-2

zbMATH Keywords

Hamiltoniandualizationgeneralized Bolza problemLagrangian

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Duality theory (optimization) (49N15) Optimality conditions for problems involving ordinary differential equations (49K15)

Related Items (6)

Lower semicontinuity of the solution map to a parametric vector variational inequality ⋮ Lower semicontinuity of the solution map to a parametric generalized variational inequality in reflexive Banach spaces ⋮ Lyusternik-Graves theorem and fixed points ⋮ Constrained nonsmooth problems of the calculus of variations ⋮ Calculus of variations and optimal control for generalized functions ⋮ Optimal control of differential inclusions on manifolds

Cites Work

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• Variational Analysis
• Necessary conditions for optimal control problems with state constraints
• Discrete Approximations and Refined Euler–Lagrange Conditions for Nonconvex Differential Inclusions
• Equivalent Subgradient Versions of Hamiltonian and Euler–Lagrange Equations in Variational Analysis
• Convex Analysis
• Existence and Duality Theorems for Convex Problems of Bolza

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