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    MDPI - Multidisciplinary Digital Publishing Institute
    Publication Date: 2023-03-07
    Description: The current reprint presents studies of uncertain variational problems. It aims to develop the research in this field by formulating and demonstrating some characterization results of well-posedness and robust efficient solutions in new classes of (multiobjective) variational (control) problems governed by multiple and/or path-independent curvilinear integral cost functionals and robust mixed and/or isoperimetric constraints involving first- and second-order partial differential equations.
    Keywords: Lagrange 1-form ; second-order Lagrangian ; normal weak robust optimal solution ; modified objective function method ; robust saddle-point ; real analysis ; Riemann integral ; change of variable ; constrained variational problem ; well-posedness ; multiple integral functional ; gH-symmetrically derivative ; optimality conditions ; wolfe duality ; symmetric pseudo-convexity ; symmetric quasi-convexity ; LR-χ-pre-invex interval-valued function ; interval Riemann–Liouville fractional integral operator ; Hermite–Hadamard inequality ; Hermite–Hadamard Fejér inequality ; Hermite–Hadamard inequalities ; harmonical convex functions ; interval-valued functions ; fractional integrals ; left and right preinvex interval-valued function ; interval Riemann integral ; Hermite–Hadamard type inequality ; Hermite–Hadamard–Fejér type inequality ; nonlinear function ; constrained optimization ; hybrid algorithm ; global optima ; line search ; gradient method ; meta-heuristics ; simulated annealing algorithm ; constraint handling ; penalty function ; evolutionary computation ; numerical comparisons ; metaheuristics ; feature selection ; classification ; nonlocal modified Korteweg–de Vries equation ; consistent tanh expansion method ; parity-time symmetry ; multi-time controlled Lagrangian of second-order ; isoperimetric constraints ; Euler–Lagrange equations ; multiple integral ; differential 1-form ; curvilinear integral ; variational inequalities ; nonlinear programming ; switching constraints ; stationary conditions ; interval-valued optimization ; polynomial approximation ; unbounded subsets ; Markov moment problem ; positive operators ; solution ; existence ; uniqueness ; sums of squares ; Banach lattices ; BVP nonlinear problems ; variational methods ; estimating nonlinearities ; Green function ; n/a ; bic Book Industry Communication::K Economics, finance, business & management::KN Industry & industrial studies::KNT Media, information & communication industries::KNTX Information technology industries ; bic Book Industry Communication::U Computing & information technology::UY Computer science
    Language: English
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