On Efficiency Conditions for Multiobjective Variational Problems Involving Higher Order Derivatives

摘要

This paper aims to formulate and prove necessary and sufficient conditions of efficiency for a class of multiobjective variational problems involving higher order derivatives. Consider a multiobjective optimization problem of minimizing a vector of simple integral functionals subject to certain higher order differential equations and/or inequations. We establish sufficient efficiency conditions for a feasible solution using the notion of quasi-invexity.