On optimal control of a stationary populational model of a logistic type

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We study optimal control problem for distribution of a biological population depending on distribution of nutrition of a given amount. The model is described by a nonlinear elliptic equation of logistic type with Dirichlet boundary conditions. The existence of an optimal solution is established. The main result is a proof of necessary optimality conditions. (In Russian)

Elliptic partial differential equations, necessary optimality conditions. the work was partially supported by rfbr, optimal control, project no. 14-01-31254, stationary populational models

Короткий адрес: https://sciup.org/14336004

IDR: 14336004

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