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期刊论文
The Iteration Formula of the Maslov-type Index Theory with Applications to Nonlinear Hamiltonian Systems
This paper is published in Trans. Amer. Math. Soc. Vol.349 (1997) 2619-2661.,-0001,():
In this paper, the iteration formula of the Maslov-type index theory for linear Hamiltonian systems with continuous periodic and symmetric coefficients is established. This formula yields a new method to determine the minimality of the period for solutions of nonlinear autonomous Hamiltonian systems via their Maslov-type indices. Applications of this formula give new results on the existence of periodic solutions with prescribed minimal period for such systems and unify known results under various convexity conditions.
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