Jacobi condition for elliptic forms in Hilbert spaces

DOI10.1007/BF00939612zbMath0798.49027OpenAlexW3211663196MaRDI QIDQ1321306

Pierluigi Zezza

Publication date: 27 April 1994

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00939612

zbMATH Keywords

quadratic elliptic formsemi-conjugate points

Mathematics Subject Classification ID

Optimality conditions for problems in abstract spaces (49K27)

Related Items (8)

Symplectic difference systems: Variable stepsize discretization and discrete quadratic functionals ⋮ Nonnegativity and positivity of quadratic functionals in discrete calculus of variations: survey ⋮ Index of an extremal of a Lagrange problem with periodic boundary conditions ⋮ Time scale embedding theorem and coercivity of quadratic functionals ⋮ Coupled Intervals in the Discrete Optimal Control ⋮ Nonnegativity of a discrete quadratic functional in terms of the (strengthened) Legendre and Jacobi conditions ⋮ Coupled intervals in the discrete calculus of variations: necessity and sufficiency ⋮ Discrete Optimal Control: Second Order Optimality Conditions

Cites Work

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• Jacobi-type conditions for the problem of Bolza with inequalities
• Quadratic form theory and differential equations
• Critical point theory and Hamiltonian systems
• Coupled points for infinite-dimensional control systems
• Conjugate surfaces for multiple integral problems in the calculus of variations
• Focal points in a control problem
• Applications of the theory of quadratic forms in Hilbert space to the calculus of variations
• Coupled Points in the Calculus of Variations and Applications to Periodic Problems

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