On a Class of Second-Order PDE&PDI Constrained Robust Modified Optimization Problems

نویسندگان

چکیده

In this paper, by using scalar multiple integral cost functionals and the notion of convexity associated with a functional driven an uncertain multi-time controlled second-order Lagrangian, we develop new mathematical framework on multi-dimensional variational control problems mixed constraints implying partial differential equations (PDEs) inequations (PDIs). Concretely, introduce investigate auxiliary (modified) problem, which is much easier to study, provide some equivalence results normal weak robust optimal solution.

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ژورنال

عنوان ژورنال: Mathematics

سال: 2021

ISSN: ['2227-7390']

DOI: https://doi.org/10.3390/math9131473