Oscillation Criteria Based on a New Weighted Function for Linear Matrix Hamiltonian Systems

Oscillation Criteria Based on a New Weighted Function for Linear Matrix Hamiltonian Systems

By employing a generalized Riccati technique and an integral averaging technique, some new oscillation criteria are established for the second-order matrix differential system U′=A(x)U+B(t)V, V′=C(x)U−A∗(t)V, where A(t), B(t), and C(t) are (n×n)-matrices, and B, C are Hermitian. These results are sh...

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Main Authors: Yingxin Guo, Junchang Wang
Format: Article
Language:English
Published: Hindawi Limited 2011-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2011/659503
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spelling doaj-220de1b3ecfc44949da28e2e1b6947be2020-11-25T00:57:38ZengHindawi LimitedDiscrete Dynamics in Nature and Society1026-02261607-887X2011-01-01201110.1155/2011/659503659503Oscillation Criteria Based on a New Weighted Function for Linear Matrix Hamiltonian SystemsYingxin Guo0Junchang Wang1College of Control Science and Engineering, Shandong University, Jinan, Shandong 250061, ChinaDepartment of Mathematics, Shangqiu Normal University, Shangqiu, Henan 476000, ChinaBy employing a generalized Riccati technique and an integral averaging technique, some new oscillation criteria are established for the second-order matrix differential system U′=A(x)U+B(t)V, V′=C(x)U−A∗(t)V, where A(t), B(t), and C(t) are (n×n)-matrices, and B, C are Hermitian. These results are sharper than some previous results.http://dx.doi.org/10.1155/2011/659503
collection DOAJ
language English
format Article
sources DOAJ
author Yingxin Guo
Junchang Wang
spellingShingle Yingxin Guo
Junchang Wang
Oscillation Criteria Based on a New Weighted Function for Linear Matrix Hamiltonian Systems
Discrete Dynamics in Nature and Society
author_facet Yingxin Guo
Junchang Wang
author_sort Yingxin Guo
title Oscillation Criteria Based on a New Weighted Function for Linear Matrix Hamiltonian Systems
title_short Oscillation Criteria Based on a New Weighted Function for Linear Matrix Hamiltonian Systems
title_full Oscillation Criteria Based on a New Weighted Function for Linear Matrix Hamiltonian Systems
title_fullStr Oscillation Criteria Based on a New Weighted Function for Linear Matrix Hamiltonian Systems
title_full_unstemmed Oscillation Criteria Based on a New Weighted Function for Linear Matrix Hamiltonian Systems
title_sort oscillation criteria based on a new weighted function for linear matrix hamiltonian systems
publisher Hindawi Limited
series Discrete Dynamics in Nature and Society
issn 1026-0226
1607-887X
publishDate 2011-01-01
description By employing a generalized Riccati technique and an integral averaging technique, some new oscillation criteria are established for the second-order matrix differential system U′=A(x)U+B(t)V, V′=C(x)U−A∗(t)V, where A(t), B(t), and C(t) are (n×n)-matrices, and B, C are Hermitian. These results are sharper than some previous results.
url http://dx.doi.org/10.1155/2011/659503
work_keys_str_mv AT yingxinguo oscillationcriteriabasedonanewweightedfunctionforlinearmatrixhamiltoniansystems
AT junchangwang oscillationcriteriabasedonanewweightedfunctionforlinearmatrixhamiltoniansystems
_version_ 1725223160492589056

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