New Interval Oscillation Criteria for Certain Linear Hamiltonian Systems

New Interval Oscillation Criteria for Certain Linear Hamiltonian Systems

Using a generalized Riccati transformation and the general integral means technique, some new interval oscillation criteria for the linear matrix Hamiltonian system U'=(A(t)-λ(t)I)U+B(t)V, V'=C(t)U+(μ(t)I-A*(t))V, t≥t0 are obtained. These results generalize and improve the oscillation crit...

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Main Authors: Jing Shao, Fanwei Meng
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2013/784279
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spelling doaj-09645ab8aba149129e6a6819c73ca39a2020-11-24T23:30:20ZengHindawi LimitedDiscrete Dynamics in Nature and Society1026-02261607-887X2013-01-01201310.1155/2013/784279784279New Interval Oscillation Criteria for Certain Linear Hamiltonian SystemsJing Shao0Fanwei Meng1School of Mathematical Sciences, Qufu Normal University, Qufu 273165, ChinaSchool of Mathematical Sciences, Qufu Normal University, Qufu 273165, ChinaUsing a generalized Riccati transformation and the general integral means technique, some new interval oscillation criteria for the linear matrix Hamiltonian system U'=(A(t)-λ(t)I)U+B(t)V, V'=C(t)U+(μ(t)I-A*(t))V, t≥t0 are obtained. These results generalize and improve the oscillation criteria due to Zheng (2008). An example is given to dwell upon the importance of our results.http://dx.doi.org/10.1155/2013/784279
collection DOAJ
language English
format Article
sources DOAJ
author Jing Shao
Fanwei Meng
spellingShingle Jing Shao
Fanwei Meng
New Interval Oscillation Criteria for Certain Linear Hamiltonian Systems
Discrete Dynamics in Nature and Society
author_facet Jing Shao
Fanwei Meng
author_sort Jing Shao
title New Interval Oscillation Criteria for Certain Linear Hamiltonian Systems
title_short New Interval Oscillation Criteria for Certain Linear Hamiltonian Systems
title_full New Interval Oscillation Criteria for Certain Linear Hamiltonian Systems
title_fullStr New Interval Oscillation Criteria for Certain Linear Hamiltonian Systems
title_full_unstemmed New Interval Oscillation Criteria for Certain Linear Hamiltonian Systems
title_sort new interval oscillation criteria for certain linear hamiltonian systems
publisher Hindawi Limited
series Discrete Dynamics in Nature and Society
issn 1026-0226
1607-887X
publishDate 2013-01-01
description Using a generalized Riccati transformation and the general integral means technique, some new interval oscillation criteria for the linear matrix Hamiltonian system U'=(A(t)-λ(t)I)U+B(t)V, V'=C(t)U+(μ(t)I-A*(t))V, t≥t0 are obtained. These results generalize and improve the oscillation criteria due to Zheng (2008). An example is given to dwell upon the importance of our results.
url http://dx.doi.org/10.1155/2013/784279
work_keys_str_mv AT jingshao newintervaloscillationcriteriaforcertainlinearhamiltoniansystems
AT fanweimeng newintervaloscillationcriteriaforcertainlinearhamiltoniansystems
_version_ 1725541684119339008

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