Zobrazeno 1 - 10
of 53
pro vyhledávání: '"Yu. N. Kiselev"'
Publikováno v:
Moscow University Computational Mathematics and Cybernetics. 44:73-86
An $$n$$ -dimensional economic model is considered that has a Cobb–Douglas production function on the infinite planning horizon such that the utility function is an integral-type functional with a discount and a logarithm-type integrant. It is assu
Publikováno v:
Moscow University Computational Mathematics and Cybernetics. 42:152-162
The classical two-dimensional Fuller problem is considered. The boundary value problem of Pontryagin’s maximum principle is considered. Based on the central symmetry of solutions to the boundary value problem, the Pontryagin maximum principle as a
Publikováno v:
Computational Mathematics and Modeling. 28:449-477
We consider the resource allocation problem in a two-sector economy with a Constant Elasticity of Substitution (CES) production function on a given sufficiently long finite planning horizon. The performance criterion being optimized is one of the pha
Publikováno v:
Moscow University Computational Mathematics and Cybernetics. 41:64-69
An n-dimensional problem of optimal economic growth in a multifactor model with the Cobb–Douglas production function and an integral-type functional with discounting is investigated. The model is studied by assuming that all amortization coefficien
Publikováno v:
Differential Equations. 53:248-262
An infinite-horizon two-sector economy model with a Cobb–Douglas production function is studied for different depreciation rates, the utility function being an integral functional with discounting and a logarithmic integrand. The application of the
Autor:
Yu. N. Kiselev, S. N. Avvakumov
Publikováno v:
Computational Mathematics and Modeling. 27:327-350
We investigate modified models of information diffusion (or propagation) in a social group. The process dynamics is described by a one-dimensional controlled Riccati differential equation. The models in this article differ from the original model [2]
Publikováno v:
Computational Mathematics and Modeling. 27:302-317
We investigate a one-dimensional nonlinear optimal control problem and describe its optimal trajectory and optimal control for three distinct cases.
Publikováno v:
Moscow University Computational Mathematics and Cybernetics. 40:10-18
In this work, we study a two-sector economic model with the Cobb–Douglas production function on an infinite planning horizon where the utility function is a functional of an integral form and a Lagrangian of a logarithmic type. A one-dimensional eq
Publikováno v:
Computational Mathematics and Mathematical Physics. 55:1779-1793
An infinite-horizon two-sector economy model with a Cobb–Douglas production function and a utility function that is an integral functional with discounting and a logarithmic integrand is investigated. The application of Pontryagin’s maximum princ
Autor:
S. M. Orlov, Yu. N. Kiselev
Publikováno v:
Moscow University Computational Mathematics and Cybernetics. 39:135-143
A one-dimensional nonlinear problem of optimal control on an infinite planning horizon is considered that is a modification of Ramsey‘s model for endogenous economic growth with the Cobb–Douglas production function. The model is innovative in its