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Notes on the Solution of Dynamic Optimization Problems with Explicit Controls in Discrete-Time Economic Models
Mathematics and Education in Mathematics, Tome 40 (2011) no. 1, pp. 187-192.

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In the paper methods of solving discrete-time infinite-horizon dynamic optimization problems with explicit controls are studied. It is provided a justification of a solution procedure based on a Lagrangian formulation that is frequently applied to such problems in the economics literature. Necessary conditions for optimality are derived on the basis of the Bellman equation and sufficient conditions for optimality are provided under assumptions commonly employed in economics. *2000 Mathematics Subject Classification: 49K99, 49L20.
Keywords: Discrete-Time Optimal Control, Infinite Horizon, Explicit Controls, Lagrangian Formulation 
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Iordanov, Iordan; Vassilev, Andrey. Notes on the Solution of Dynamic Optimization Problems with Explicit Controls in Discrete-Time Economic Models. Mathematics and Education in Mathematics, Tome 40 (2011) no. 1, pp. 187-192. http://geodesic.mathdoc.fr/item/MEM_2011_40_1_a16/