Coupled Points in the Calculus of Variations and Applications to Periodic Problems
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Publication:3833121
DOI10.2307/2001386zbMath0677.49020OpenAlexW4239997414MaRDI QIDQ3833121
Publication date: 1989
Full work available at URL: https://doi.org/10.2307/2001386
periodic problemscoupled pointsgeneral boundary conditionssecond order necessary conditions for optimality
Related Items (13)
Symplectic difference systems: Variable stepsize discretization and discrete quadratic functionals ⋮ Sufficient conditions for variational problems with variable endpoints: Coupled points ⋮ Coupled intervals for discrete \(p\)-degree functional ⋮ Coupled intervals for discrete symplectic systems ⋮ Geometrical and topological methods in optimal control theory ⋮ Index of an extremal of a Lagrange problem with periodic boundary conditions ⋮ Admissible directions and generalized coupled points for optimal control problems ⋮ Conjugate points and shocks in nonlinear optimal control ⋮ A half-linear differential equation and variational problem ⋮ Local minimality properties of circular motions in \(1/r^\alpha\) potentials and of the figure-eight solution of the 3-body problem ⋮ Second order optimality conditions for periodic optimal control problems governed by semilinear parabolic differential equations ⋮ Coupled intervals in the discrete calculus of variations: necessity and sufficiency ⋮ Jacobi condition for elliptic forms in Hilbert spaces
Cites Work
- One-dimensional variational problems whose minimizers do not satisfy the Euler-Lagrange equation
- Riccati differential equations
- A second variational theory for optimal periodic processes
- Regularity Properties of Solutions to the Basic Problem in the Calculus of Variations
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