Abstract
In this chapter, we wish to show that dynamic programming applied to the calculus of variations leads to various classes of partial differential equations. In the following chapter we will discuss this further.
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Bibliography and Comments
R. Bellman, Introduction to the Mathematical Theory of Control Processes, Vol. II, Academic Press, Inc., New York, 1971.
R. Bellman, ‘Functional Equations in the Theory of Dynamic Programming. XV. Layered Functionals and Partial Differential Equations’, Journal of Mathematical Analysis and Applications 28 (1969), 183.
R. Bellman, Methods of Nonlinear Analysis, Vol. II, Academic Press, New York, 1973.
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© 1985 D. Reidel Publishing Company
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Bellman, R., Adomian, G. (1985). Dynamic Programming and Partial Differential Equations. In: Partial Differential Equations. Mathematics and Its Applications, vol 15. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-5209-6_3
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DOI: https://doi.org/10.1007/978-94-009-5209-6_3
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-8804-6
Online ISBN: 978-94-009-5209-6
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