On the Bellman equations with varying control

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The value function is presented by minimisation of a cost functional over admissible controls. The associated first order Bellman equations with varying control are treated. It turns out that the value function is a viscosity solution of the Bellman equation and the comparison principle holds, which is an essential tool in obtaining the uniqueness of the viscosity solutions.

Original languageEnglish
Pages (from-to)51-62
Number of pages12
JournalBulletin of the Australian Mathematical Society
Issue number1
Publication statusPublished - 1996 Feb 1
Externally publishedYes


ASJC Scopus subject areas

  • Mathematics(all)

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