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摘要
The author mainly uses the Galerkin approximation method and the iteration inequalities of the L-Maslov type index theory to study the properties of brake subharmonic solutions for the Hamiltonian systems z over dot (t) = J del H(t, z(t)), where H(t, z) = 1/2 ((B) over tilde (t) z, z) + (H) over cap (t, z), (B) over cap (t) is a semipositive symmetric continuous matrix and (H) over cap is unbounded and not uniformly coercive. It is proved that when the positive integers j and k satisfy the certain conditions, there exists a jT-periodic nonconstant brake solution z(j) such that z(j) and z(kj) are distinct.
- 出版日期2016-5
- 单位北京联合大学
