Geometric constrained variational calculus. III: The second variation (Part II)

DOI10.1142/S0219887816500389zbMath1345.49026MaRDI QIDQ2805556

Gianvittorio Luria, Enrico M. Pagani, Enrico Massa

Publication date: 12 May 2016

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

zbMATH Keywords

second variationminimalitygeometric constrained calculus of variations

Mathematics Subject Classification ID

Geometric methods (93B27) Nonholonomic systems related to the dynamics of a system of particles (70F25) Optimality conditions for problems involving ordinary differential equations (49K15) Existence theories in calculus of variations and optimal control (49J99)

Related Items (2)

Deformation of piecewise differentiable curves in constrained variational calculus ⋮ On the notion of Jacobi fields in constrained calculus of variations

Cites Work

• Jacobi conditions and the Riccati equation for a broken extremal
• Discontinuous Solutions in the Non-Parametric Problem of Mayer in the Calculus of Variations
• Geometric constrained variational calculus I: Piecewise smooth extremals
• Geometric constrained variational calculus. II: The second variation (Part I)
• A Matrix Differential Equation of Riccati Type
• High-order conditions for a minimum on a set of sequences in the abstract problem with inequality and equality constraints

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