Renormalized Oscillation Theory for Linear Hamiltonian Systems on [0, 1] Via the Maslov Index
Renormalized Oscillation Theory for Linear Hamiltonian Systems on [0, 1] Via the Maslov Index
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DOI：
10.1007/s10884-021-10121-2
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发表时间：
2018-08
影响因子：
1.3
通讯作者：
P. Howard;A. Sukhtayev
中科院分区：
文献类型：
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作者：
P. Howard;A. Sukhtayev
工作与一般类的正规线性哈密顿系统，我们表明，重整化振荡的结果可以通过考虑适当选择的路径的拉格朗日子空间的马斯洛夫指数以自然的方式获得。我们验证，我们的适用性类包括狄拉克和Sturm-Liouville系统，以及系统所产生的微分代数方程的谱参数出现非线性。
Working with a general class of regular linear Hamiltonian systems, we show that renormalized oscillation results can be obtained in a natural way through consideration of the Maslov index associated with appropriately chosen paths of Lagrangian subspaces of. We verify that our applicability class includes Dirac and Sturm–Liouville systems, as well as a system arising from differential-algebraic equations for which the spectral parameter appears nonlinearly.