Abstract
In this paper, we use the averaging method to find an approximate solution in the optimal control problem of a parabolic system with non-linearity of the form f(t/ε,y) on an infinite time interval.
Subject
Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis
Reference22 articles.
1. Asymptotic Methods in the Theory of Non-Linear Oscillations;Bogoliubov,1961
2. Vibrations nonlinéaires et théorie de la stabilité;Roseau,1966
3. On the asymptotic methods for non-linear differential equations;Besjes;J. Mécanique,1969
4. Higher Order Averaging and Related Methods for Perturbed Periodic and Quasi-Periodic Systems
5. Multiphase Averaging for Classical Systems;Lochak,1988
Cited by
11 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献