Gołȩbiewska Anna
Faculty of Mathematics and Computer Science, Nicolaus Copernicus University, ul. Chopina 12/18, 87-100 Toruń, Poland.
J Dyn Differ Equ. 2018;30(4):1509-1524. doi: 10.1007/s10884-017-9608-0. Epub 2017 Aug 10.
In this paper we define the index at infinity of an asymptotically linear autonomous Hamiltonian system. We use this index to prove the existence and bifurcation from infinity of periodic solutions of the system. We apply the degree for -invariant strongly indefinite functionals defined by Gołȩbiewska and Rybicki in (Nonlinear Anal 74:1823-1834, 2011).
在本文中，我们定义了一个渐近线性自治哈密顿系统在无穷远处的指标。我们利用这个指标来证明该系统周期解的存在性以及从无穷远处的分岔。我们应用了由戈莱别夫斯卡和雷比茨基在（《非线性分析》74:1823 - 1834，2011年）中定义的关于(\Phi)-不变强不定泛函的度数。
