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ISSN (Print) 2079-6900

ISSN (Online) 2587-7496

(Middle Volga Mathematical Society Journal)

Scientific Journal

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The maximum principle to the control problem of advertising expenses with distributed lag

I. Lutoshkin1, N. Yamaltdinova2

AnnotationThere is constructed the dynamic optimal control problem of promotion expenses, taking into account distributed lags of advertising and accumulated firm goodwill. There is solved the problem of maximizing a total profit of a company for the planning period under the restriction, reflects the reaction of the target audience. In this case initial problem is formulated as a system of equations of Volterra type.
Keywordspromotion expenses control; model with distributed lag of advertising; accumulated firm goodwill; optimal control; integral equations of Volterra type

1Head of Economic and Mathematical Methods and Information Technologies Chair, Ulyanovsk State University, Ulyanovsk; lutoshkiniv@ulsu.ru.

2Graduate student of Economic and Mathematical Methods and Information Technologies Chair, Ulyanovsk State University, Ulyanovsk

Citation: I. Lutoshkin, N. Yamaltdinova, "[The maximum principle to the control problem of advertising expenses with distributed lag]", Zhurnal Srednevolzhskogo matematicheskogo obshchestva,17:4 (2015) 96–104 (In Russian)