On Modified Interval-Valued Variational Control Problems with First-Order PDE Constraints
Savin Treanţă
Abstract
In this paper, a modified interval-valued variational control problem involving first-order partial differential equations (PDEs) and inequality constraints is investigated. Specifically, under some generalized convexity assumptions, we formulate and prove LU-optimality conditions for the considered interval-valued variational control problem. In order to illustrate the main results and their effectiveness, an application is provided.
Topics & Concepts
ConvexityInterval (graph theory)MathematicsVariational inequalityOrder (exchange)Applied mathematicsOptimal controlMathematical optimizationVariational analysisPartial differential equationMathematical analysisCombinatoricsFinanceFinancial economicsEconomicsOptimization and Variational AnalysisContact Mechanics and Variational InequalitiesAdvanced Optimization Algorithms Research