Variational Problems and Applications

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 gove...

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Bibliografiske detaljer
Format:	Online
Sprog:	engelsk
Udgivet:	MDPI - Multidisciplinary Digital Publishing Institute 2023
Fag:	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 thema EDItEUR::K Economics, Finance, Business and Management::KN Industry and industrial studies::KNT Media, entertainment, information and communication industries::KNTX Information technology industries thema EDItEUR::U Computing and Information Technology::UY Computer science
Online adgang:	ONIX_20230405_9783036565897_22
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Summary:	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.

Variational Problems and Applications

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