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Controlled Processes with Unbounded Coefficients: The Normed Bellman Equation

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Controlled Diffusion Processes

Part of the book series: Stochastic Modelling and Applied Probability ((SMAP,volume 14))

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Abstract

In Chapters 3, 4, and 5 we studied controlled processes on a finite time interval under the assumption that the initial variables σ(α,t,x), b(α,t,x), cα(t,x), and fα(t,x) are bounded functions of α for each (t,x). The objective of Chapter 6 is to carry the results obtained in Chapters 3–5 over to controlled processes with coefficients unbounded with respect to α, and also to consider controlled processes on an infinite time interval.

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© 2009 Springer-Verlag Berlin Heidelberg

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(2009). Controlled Processes with Unbounded Coefficients: The Normed Bellman Equation. In: Controlled Diffusion Processes. Stochastic Modelling and Applied Probability, vol 14. Springer, New York, NY. https://doi.org/10.1007/978-3-540-70914-5_6

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  • DOI: https://doi.org/10.1007/978-3-540-70914-5_6

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-3-540-70913-8

  • Online ISBN: 978-3-540-70914-5

  • eBook Packages: Springer Book Archive

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