Geodesic
Optimal investment in economic growth with nonlinear amortization function
Sibirskij žurnal industrialʹnoj matematiki, Tome 17 (2014) no. 3, pp. 78-85

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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. 
@article{SJIM_2014_17_3_a7,
     author = {Sh. A. Iskenderov},
     title = {Optimal investment in economic growth with nonlinear amortization function},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
     pages = {78--85},
     publisher = {mathdoc},
     volume = {17},
     number = {3},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJIM_2014_17_3_a7/}
}
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Sh. A. Iskenderov. Optimal investment in economic growth with nonlinear amortization function. Sibirskij žurnal industrialʹnoj matematiki, Tome 17 (2014) no. 3, pp. 78-85. http://geodesic.mathdoc.fr/item/SJIM_2014_17_3_a7/