References
Bellman, R.,Dynamic programming. Princeton University Press, Princeton, N.J., 1957.
Bellman, R.,Adaptive control processes. A guided tour. Princeton University Press, Princeton, N.J., 1961.
Bellman, R. andDreyfus, S.,Applied dynamic programming. Princeton University Press, Princeton, N.J., 1962.
Arrow, K. J., Karlin, S. andScarf, H.,Studies in the mathematical theory of inventory and production. Stanford University Press, Stanford, 1958.
Mine, H. andOsaki, S.,Markovian decision-processes. American Elsevier, New York, 1970.
Howard, R. A.,Dynamic programming and Markov processes. Wiley, 1960.
Bellman, R.,Introduction to the mathematical theory of control processes, Volumes I and II, 1967, 1971. Academic Press, New York.
Dreyfus, S.,Dynamic programming and the calculus of variations. Academic Press, New York, 1965.
Aris, R.,Discrete dynamic programming. Blaisdell, New York, 1964.
Bellman, R. andAngel, E.,Dynamic programming and partial differential equations. Academic Press, New York, 1972.
Lee, E. S.,Quasilinearization and invariant imbedding. Academic Press, New York, 1968.
Bellman, R. andWing, G. M.,An introduction to invariant imbedding. Wiley, New York, 1975.
Wing, G. M.,An introduction to transport theory. Wiley, New York, 1962.
Bellman, R. andZadeh, L. A.,Decision-making in a fuzzy environment, Management Sciences 17, (1970), B-141–B164.
Bellman, R.,A note on cluster analysis and dynamic programming. Mathematical Biosciences 19 (1973), 311–312.
Chang, S. S. L.,Fuzzy dynamic programming and decision-making process. InProceedings of the 3rd Princeton Conference on Information Sciences, 1969, pp. 200–203.
Zadeh, L. A.,Fuzzy sets. Information and Control,8 (1965), 338–353.
Zadeh, L. A.,Fuzzy algorithms. Information and Control12 (1968), 94–102.
Author information
Authors and Affiliations
Additional information
This research was supported by the National Science Foundation under Grant No. MPS-74-15650 and the Energy Research and Development Administration (ERDA) under Contract No. E(04–3)113, Project 19.
Rights and permissions
About this article
Cite this article
Bellman, R., Lee, E.S. Functional equations in dynamic programming. Aequat. Math. 17, 1–18 (1978). https://doi.org/10.1007/BF01818535
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1007/BF01818535