This paper is concerned with a generalization of a functional differential equation known as the pantograph equation. The pantograph equation contains a linear functional argument. In this paper we generalize this functional argument to include nonlinear polynomials. In contrast to the entire soluti
Existence Theorems of Solutions for Certain Classes of Functional Equations Arising in Dynamic Programming
β Scribed by Zeqing Liu
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 147 KB
- Volume
- 262
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
β¦ Synopsis
In this paper we study the existence, uniqueness, and iterative approximation of solutions for certain classes of functional equations arising in dynamic programming of multistage decision processes. The results presented here generalize, improve, and unify the corresponding results of other authors.
π SIMILAR VOLUMES
## Abstract Some conditions on the size of the exceptional set that arise in Nevanlinna's Second Fundamental Theorem are established, showing that previous sharp results can be improved by restricting the class of functions considered and suggesting a close relationship between the size of the exce