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...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2011-01-01
|
| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2011/659503 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849307713048150016 |
|---|---|
| author | Yingxin Guo Junchang Wang |
| author_facet | Yingxin Guo Junchang Wang |
| author_sort | Yingxin Guo |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-220de1b3ecfc44949da28e2e1b6947be |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-220de1b3ecfc44949da28e2e1b6947be2025-08-20T03:54:42ZengWileyDiscrete 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 |
| spellingShingle | Yingxin Guo Junchang Wang Oscillation Criteria Based on a New Weighted Function for Linear Matrix Hamiltonian Systems Discrete Dynamics in Nature and Society |
| title | 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_short | 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 |
| url | http://dx.doi.org/10.1155/2011/659503 |
| work_keys_str_mv | AT yingxinguo oscillationcriteriabasedonanewweightedfunctionforlinearmatrixhamiltoniansystems AT junchangwang oscillationcriteriabasedonanewweightedfunctionforlinearmatrixhamiltoniansystems |