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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Veröffentlicht in:Discrete Dynamics in Nature and Society 2011-01, Vol.2011 (2011), p.1199-1210
Hauptverfasser: Guo, Yingxin, Wang, Junchang
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Criteria
Dynamical systems
Dynamics
Hamiltonian systems
Integrals
Oscillations
Studies
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Zusammenfassung: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.
ISSN:1026-0226
1607-887X
DOI:10.1155/2011/659503