Necessary and sufficient conditions for local Pareto optimality on time scales

Abstract

We study a multiobjective variational problem on time scales. For this problem, necessary and sufficient conditions for weak local Pareto optimality are given. We also prove a necessary optimality condition for the isoperimetric problem with multiple constraints on time scales.

7 pages

References in corpus (2)

• Noether's Theorem on Time Scales
• Higher-Order Calculus of Variations on Time Scales

Cited by in corpus (8)

• Calculus of Variations on Time Scales with Nabla Derivatives
• Isoperimetric problems on time scales with nabla derivatives
• The Second Euler-Lagrange Equation of Variational Calculus on Time Scales
• Fractional variational calculus for nondifferentiable functions
• Noether's symmetry theorem for nabla problems of the calculus of variations
• The isoperimetric problem for Holderian curves
• Optimality conditions for the calculus of variations with higher-order delta derivatives
• A unified approach to the calculus of variations on time scales