A boundary value problem for a non-linear difference equation

Autor: Mario Lefebvre
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: Archives of Control Sciences, Vol vol. 33, Iss No 4, Pp 829-837 (2024)
Druh dokumentu: article
ISSN: 1230-2384
DOI: 10.24425/acs.2023.148883
Popis: A boundary value problem for a non-linear difference equation of order three is considered. We show that this equation can be interpreted as the equation satisfied by the value function in a stochastic optimal control problem. We thus obtain an expression for the solution of the non-linear difference equation that can be used to find an explicit solution to this equation. An example is presented.
Databáze: Directory of Open Access Journals