Geodesic
Volterra functional-operator equations and distributed optimization problems
Vestnik rossijskih universitetov. Matematika, Tome 23 (2018) no. 124, pp. 745-756

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A survey of the results obtained in the theory of optimization of distributed systems by the method of Volterra functional-operator equations is given. Topics are considered: the conditions for preserving the global solvability of controllable initial-boundary value problems, optimality conditions, singular controlled systems in the sense of J.L. Lions, singular optimal controls, numerical optimization methods substantiation and others.
Keywords: Volterra functional-operator equations, controlled initial-boundary value problems, conditions for preserving global solvability, optimization problems, optimality conditions, optimization methods. 
@article{VTAMU_2018_23_124_a18,
     author = {V. I. Sumin},
     title = {Volterra functional-operator equations and distributed optimization problems},
     journal = {Vestnik rossijskih universitetov. Matematika},
     pages = {745--756},
     publisher = {mathdoc},
     volume = {23},
     number = {124},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VTAMU_2018_23_124_a18/}
}
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V. I. Sumin. Volterra functional-operator equations and distributed optimization problems. Vestnik rossijskih universitetov. Matematika, Tome 23 (2018) no. 124, pp. 745-756. http://geodesic.mathdoc.fr/item/VTAMU_2018_23_124_a18/