scientific article; zbMATH DE number 7201297
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Publication:5110176
zbMath1439.49068MaRDI QIDQ5110176
Piernicola Bettiol, Julien Bernis, Carlo Mariconda
Publication date: 18 May 2020
Full work available at URL: http://www.heldermann.de/JCA/JCA27/JCA271/jca27011.htm#jca271
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
calculus of variationsnecessary conditionsWeierstrass inequalityminimizer regularityhigher-order problemsErdmann-Du Bois-Reymond condition
Regularity of solutions in optimal control (49N60) Optimality conditions for problems involving ordinary differential equations (49K15)
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Some regularity properties on Bolza problems in the calculus of variations ⋮ Equi-Lipschitz minimizing trajectories for non coercive, discontinuous, non convex Bolza controlled-linear optimal control problems
Cites Work
- Regularity of minimizers for second order variational problems in one independent variable
- Lipschitz regularity of the minimizers of autonomous integral functionals with discontinuous non-convex integrands of slow growth
- A new variational inequality in the calculus of variations and Lipschitz regularity of minimizers
- On generalized Bolza problem and its application to dynamic optimization
- On a new necessary condition in the calculus of variations for Lagrangians that are highly discontinuous in the state and velocity
- Functional Analysis, Calculus of Variations and Optimal Control
- A Regularity Theory for Variational Problems with Higher Order Derivatives
- Regularity Properties of Solutions to the Basic Problem in the Calculus of Variations
- An Indirect Method in the Calculus of Variations
- The classical problem of the calculus of variations in the autonomous case: Relaxation and Lipschitzianity of solutions
- Necessary conditions in dynamic optimization
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