| Article ID: | iaor20134068 |
| Volume: | 56 |
| Issue: | 2 |
| Start Page Number: | 251 |
| End Page Number: | 263 |
| Publication Date: | Jun 2013 |
| Journal: | Journal of Global Optimization |
| Authors: | Ivanov Anatoli, Mammadov Musa, Trofimchuk Sergei |
| Keywords: | turnpike sets, differential equations, optimal control, stabillity |
A class of scalar nonlinear difference equations with delay is considered. Sufficient conditions for the global asymptotic stability of a unique equilibrium are given. Applications in economics and other fields lead to consideration of associated optimal control problems. An optimal control problem of maximizing a consumption functional is stated. The existence of optimal solutions is established and their stability (the turnpike property) is proved.