Constructing the Optimal Solutions to the Undiscounted Continuous-Time Infinite Horizon Optimization Problems

Dapeng Cai and Takashi Gyoshin Nitta
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Takashi Gyoshin Nitta: Department of Mathematics, Faculty of Education, Mie University, Tsu, Japan

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Abstract: We aim to construct the optimal solutions to the undiscounted continuous-time infinite horizon optimization problems, the objective functionals of which may be unbounded. We identify the condition under which the limit of the solutions to the finite horizon problems is optimal for the infinite horizon problems under the overtaking criterion.

Date: 2008-03
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Published in Nonlinear Analysis: Theory, Methods & Applications, Volume 71, Issue 12, 15 December 2009, Pages e2103-e2108

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