Similar words: maximum price, maximum profit, maximum, maximums, maximum flow, maximum gain, maximum load, maximum input.
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1. Methods The upper-lower solutions, monotone derivative methods, the maximum principle, comparison principle and principal eigenvalue theory were used.
2. ResultsThe maximum principle on the optimal control of weaker differential system is researched.
3. Furthermore, we applied maximum principle to our analysis and obtained both the players' cooperative strategies.
4. The new variation of the strong maximum principle for second order fully nonlinear ODEs is proved by a new method.
5. As an application of the maximum principle, one kind of partially observed linear quadratic recursive optimal control problem is also studied.
6. The maximum principle of the weak positive solution for quasilinear weak elliptic system in divergence form is investigated in this paper.
7. This scheme is proved to satisfy the maximum principle and the error estimates are derived.
8. The crucial tools in the proofs are maximum principle and Banach contraction mapping principle.
9. Based on Pontryagin maximum principle, the lunar soft landing problem is transformed into a two-point boundary value problem.
10. Using maximum principle and mountain pass lemma to a class of nonlinear elliptic equations, two different positive solutions are obtained.
11. Methods The maximum principle, monotone method, bifurcation theory, the perturbation theorem for linear operators and the stability theorem for bifurcation solutions were used.
12. Using the maximum principle, we give the location of the quenching points for the solution for a degenerate parabolic equation, and we also show the estimate of the quenching time.
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13. As a special case of partial information, the general stochastic maximum principle for this kind of fully observed risk-sensitive optimal control problem is also obtained.
14. Furthermore, we shall give Pinching-estimate for general equation and the proof of n-dimensional for the Laplace equation and an application of Hamilton tensor maximum principle.
15. Using separation theorem of convex set and the time terminal value function equation, we obtain the determining method of optimal terminal time as well as the Maximum principle.
16. The trajectory problem was cast as the optimal control problem and Pontriaghin Maximum Principle was used to obtain first order necessary condition.
17. At the end of the article, a control code is derived with the maximum principle.
18. The results show that the algorithm enhances the solution precision compared with the maximum principle method.
19. Under some suitable conditions, we prove the existence and the maximum principle for the optimal control.
20. At the last in this chapter, we give three interesting examples to show the applications of our risk-sensitive maximum principle.
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