论文信息 - Solutions to two functional equations arising in dynamic programming

Solutions to two functional equations arising in dynamic programming

This paper deals with the existence, uniqueness and iterative approximation of solutions for two functional equations arising in dynamic programming of multistage decision processes. The results presented in this paper extend, improve and unify the results due to Bellman, Bhakta and Choudhury, Bhakta and Mitra, Liu, Liu and Ume and others.

[1] Richard Bellman,et al. A technique for the reduction of dimensionality in dynamic programming , 1982 .

[2] Richard Bellman,et al. Functional equations in dynamic programming , 1978 .

[3] P. C. Bhakta,et al. Some existence theorems for functional equations arising in dynamic programming, II , 1984 .

[4] J. S. W. Wong,et al. On nonlinear contractions , 1969 .

[5] Richard Bellman,et al. Methods Of Nonlinear Analysis , 1970 .

[6] J. S. Ume,et al. On Properties of Solutions for a Class of Functional Equations Arising in Dynamic Programming , 2003 .

[7] R. Bellman. Dynamic programming. , 1957, Science.

[8] S. Belbas. Dynamic programming and maximum principle for discrete Goursat systems , 1991 .

[9] Zeqing Liu. Existence theorems of solutions for certain classes of functional equations arising in dynamic programming , 2001 .