scientific article

zbMath0754.49005MaRDI QIDQ4007951

Hélène Frankowska, Jean-Pierre Aubin

Publication date: 27 September 1992

Full work available at URL: http://www.numdam.org/item?id=ASNSP_1991_4_18_4_541_0

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

contingent single-valued and set-valued solutionsfirst-order hyperbolic systems of partial differential inclusions

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Existence theories for optimal control problems involving partial differential equations (49J20) First-order hyperbolic systems (35L40)

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Mutational equations in metrics spaces ⋮ Locally adjoint mappings and optimization of the first boundary value problem for hyperbolic type discrete and differential inclusions ⋮ Necessary and sufficient conditions for discrete and differential inclusions of elliptic type ⋮ Sufficient conditions for optimality for differential inclusions of parabolic type and duality ⋮ Optimal control of higher order differential inclusions of Bolza type with varying time interval ⋮ On duality in problems of optimal control described by convex differential inclusions of Goursat--Darboux type ⋮ Impulse capture basins of sets under impulse control systems

Cites Work

• Stability, instability and center manifold theorem for fully nonlinear autonomous parabolic equations in Banach space
• Optimal trajectories associated with a solution of the contingent Hamilton-Jacobi equation
• Applications of centre manifold theory
• Contingent solutions to the center manifold equation
• A Survey of Viability Theory
• Output regulation of nonlinear systems
• Averaged Multivalued Solutions for Scalar Conservation Laws
• Set-valued analysis
• Viability theory
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