Interval oscillation criteria for linear Hamiltonian systems

Zhaowen Zheng

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Interval oscillation criteria for linear Hamiltonian systems

机译：线性哈密顿系统的区间振动准则

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摘要

In this paper some new oscillation criteria of interval type for linear matrix Hamiltonian systems are established which are different from most known ones in the sense that they are based on the information only on a sequence of subinterval of [t{sub}0,∞] rather than on the whole half line. Our results are shaper than previous results.

机译：在本文中，建立了一些新的线性矩阵哈密顿系统间隔类型的振动准则，它们不同于大多数已知准则，因为它们仅基于信息[t {sub} 0，∞]而不是整个一半。我们的结果比以前的结果更好。

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来源
《Mathematische Nachrichten》 |2008年第11期|共8页
作者
Zhaowen Zheng;
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原文格式 PDF
正文语种 eng
中图分类数学;
关键词
Hamiltonian system; Oscillation; Interval criteria; Nonlinear functional; Negativity-preserving;

机译：哈密顿系统振动区间准则非线性泛函保持负性;

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机译：某些线性哈密顿系统的新区间振动准则
2. Interval oscillation criteria for linear Hamiltonian systems [J] . Zhaowen Zheng Mathematische Nachrichten . 2008,第11期

机译：线性哈密顿系统的区间振动准则
3. Oscillation criteria based on a new weighted function for Linear Matrix Hamiltonian systems [J] . Wang J., Guo Y. Discrete dynamics in nature and society . 2011,第Pta1期

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4. Interval Oscillation Criteria for a General Class of Second-order Nonlinear Differential Equations with Nonlinear Damping and Forcing Term [C] . Qin Jianlan, Zhang Chengke ICIDSA'06;International conference on impulsive dynamical systems and applications . 2006

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5. Phasor measurement-based state estimation of electric power systems and linearized analysis of power system network oscillations. [D] . Vanfretti, Luigi. 2009

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6. Combinatorial optimization by simulating adiabatic bifurcations in nonlinear Hamiltonian systems [O] . Hayato Goto, Kosuke Tatsumura, Alexander R. Dixon 2019

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7. New Interval Oscillation Criteria for Certain Linear Hamiltonian Systems [O] . Jing Shao, Fanwei Meng 2013

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8. Forced Oscillations of Nonlinear Hamiltonian Systems, II [R] . Ekeland, I. 1979

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Interval oscillation criteria for linear Hamiltonian systems

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