Some Oscillation Results for Linear Hamiltonian Systems
The purpose of this paper is to develop a generalized matrix Riccati technique for the selfadjoint matrix Hamiltonian system U′=A(t)U+B(t)V, V′=C(t)U−A∗(t)V. By using the standard integral averaging technique and positive functionals, new oscillation and interval oscillation criteria are established...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/942042 |
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| Summary: | The purpose of this paper is to develop a generalized matrix Riccati technique for the selfadjoint matrix Hamiltonian system U′=A(t)U+B(t)V, V′=C(t)U−A∗(t)V. By using the standard integral averaging technique and positive functionals, new oscillation and interval
oscillation criteria are established for the system. These criteria extend and improve some results that have been required before. An interesting example is included to illustrate the importance of our results. |
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| ISSN: | 1110-757X 1687-0042 |