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Sibirskii Zhurnal Industrial'noi Matematiki, 2014, Volume 17, Number 3, Pages 78–85 (Mi sjim848)  
Optimal investment in economic growth with nonlinear amortization function

Sh. A. Iskenderov

Institute of Cybernetics of NAS of Azerbaijan, 9 B. Vahavzade st., AZ-1141 Baku, Azerbaijan
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Abstract: We consider the neoclassical model of economic growth and find conditions for the attainability and optimal management of investments for this model. Here the production and amortization functions depend nonlinearly on the capital and labor. We prove theorems on the existence and uniqueness of an optimal investment in the economy and the attainability of a given economic level.
Keywords: economic growth, stability, attainability, nonlinearity, optimal control, nonlinear dependence of the amortization on capital and labor.
Received: 26.03.2014
English version:
Journal of Applied and Industrial Mathematics, 2014, Volume 8, Issue 4, Pages 534–540
DOI: https://doi.org/10.1134/S1990478914040103
Bibliographic databases:
Document Type: Article
UDC: 330.35.01
Language: Russian
Citation: Sh. A. Iskenderov, “Optimal investment in economic growth with nonlinear amortization function”, Sib. Zh. Ind. Mat., 17:3 (2014), 78–85; J. Appl. Industr. Math., 8:4 (2014), 534–540
Citation in format AMSBIB
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\by Sh.~A.~Iskenderov
\paper Optimal investment in economic growth with nonlinear amortization function
\jour Sib. Zh. Ind. Mat.
\yr 2014
\vol 17
\issue 3
\pages 78--85
\mathnet{http://mi.mathnet.ru/sjim848}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3364408}
\transl
\jour J. Appl. Industr. Math.
\yr 2014
\vol 8
\issue 4
\pages 534--540
\crossref{https://doi.org/10.1134/S1990478914040103}
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