Maximum principle for an optimal control problem with an asymptotic endpoint constraint. (English. Russian original) Zbl 07466401

Proc. Steklov Inst. Math. 315, Suppl. 1, S42-S54 (2021); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 27, No. 2, 35-48 (2021).
Summary: Under conditions characterizing the dominance of the discounting factor, a complete version of the Pontryagin maximum principle for an optimal control problem with infinite time horizon and a special asymptotic endpoint constraint is developed. Problems of this type arise in mathematical economics in the studies of growth models.


49K15 Optimality conditions for problems involving ordinary differential equations
91B62 Economic growth models


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