Necessary and sufficient conditions for local Pareto optimality on time scales

DOI10.1007/s10958-009-9601-1zbMath1192.49022arXiv0801.2123OpenAlexW3104512766WikidataQ57651174 ScholiaQ57651174MaRDI QIDQ844505

Delfim F. M. Torres, Agnieszka B. Malinowska

Publication date: 19 January 2010

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0801.2123

zbMATH Keywords

necessary optimality conditionmultiobjective variational problem on time scalesweak local Pareto optimality

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30) Optimality conditions for free problems in two or more independent variables (49K10)

Related Items (20)

Hölderian variational problems subject to integral constraints ⋮ Noether's symmetry theorem for nabla problems of the calculus of variations ⋮ Leitmann's direct method of optimization for absolute extrema of certain problems of the calculus of variations on time scales ⋮ Optimality conditions for the calculus of variations with higher-order delta derivatives ⋮ The contingent epiderivative and the calculus of variations on time scales ⋮ Calculus of variations on time scales with nabla derivatives ⋮ First order conditions for generalized variational problems over time scales ⋮ The second Euler-Lagrange equation of variational calculus on time scales ⋮ Fractional variational calculus for nondifferentiable functions ⋮ A general backwards calculus of variations via duality ⋮ Sufficiency and sensitivity for nonlinear optimal control problems on time scales via coercivity ⋮ Fractional variational calculus with classical and combined Caputo derivatives ⋮ Noether theory for Birkhoffian systems with nabla derivatives ⋮ Lie symmetries and conserved quantities of the constraint mechanical systems on time scales ⋮ Calculus of Variations on Time Scales with Nabla Derivatives of Exponential Function ⋮ Noether theorem for non-conservative systems with time delay on time scales ⋮ Natural boundary conditions in the calculus of variations ⋮ Hamilton-Jacobi method for mechanical systems on time scales ⋮ Delta-nabla optimal control problems ⋮ Oscillation Result for Nonlinear Fourth-Order Homogeneous Neutral Delay Dynamic Equations

Cites Work

• Nonlinear multiobjective optimization
• Efficiency and generalized concavity
• Hamiltonian systems on time scales
• Noether's theorem on time scales
• First and second order linear dynamic equations on time scales
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