On Optimality of Pursuit Time
We study a differential game described by an infinite system of differential equations with integral constraints on controls of players. This system is obtained by a parabolic equation by using decomposition method. We obtained an equation to find the optimal pursuit time and examined the seri...
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| Main Author: | |
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| Format: | Article |
| Language: | English English |
| Published: |
Institute for Mathematical Research
2008
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| Online Access: | http://psasir.upm.edu.my/id/eprint/12466/1/Artikel_8_vol2_no1.pdf http://psasir.upm.edu.my/id/eprint/12466/ |
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| Summary: | We study a differential game described by an
infinite system of differential equations with
integral constraints on controls of players. This
system is obtained by a parabolic equation by
using decomposition method. We obtained an
equation to find the optimal pursuit time and
examined the series representing the left hand
side of the equation. Moreover necessary and
sufficient condition for convergence of the
series is obtained. |
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