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A system of functional-differential equations associated with the optimal detection problem for jump-times of a Poisson process - MaRDI portal

A system of functional-differential equations associated with the optimal detection problem for jump-times of a Poisson process (Q1270301)

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scientific article; zbMATH DE number 1214055
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A system of functional-differential equations associated with the optimal detection problem for jump-times of a Poisson process
scientific article; zbMATH DE number 1214055

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    A system of functional-differential equations associated with the optimal detection problem for jump-times of a Poisson process (English)
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    2 August 1999
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    The value function of the optimal detection problem for jump-times of a Poisson process states a system of functional-differential equations with delays. The asymptotics of the solutions, explicit solution formulas for the global solutions, the fundamental solutions and the homogeneous equations are considered.
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    Bellman equation
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    optimal detection of jump times
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    functional-differential equation
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