Oscillation criteria of yan type for linear hamiltonian systems
โ Scribed by Shaozhu Chen; Zhaowen Zheng
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 381 KB
- Volume
- 46
- Category
- Article
- ISSN
- 0898-1221
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โฆ Synopsis
New oscillation criteria of Yan type are established for the linear Hamiltonian system X' = A(t)X + B(t)Y, Y' = C(t)X -A*(t)Y, t 2 to, where A(t), B(t), and C(t) are continuous TX x n-matrix valued functions with B*(t) = B(t) > 0, C*(t) = C(t). The criteria obtained generalize and improve some previous results for the second-order linear matrix differential systems in literature.
๐ SIMILAR VOLUMES
## Abstract In this paper some new oscillation criteria of interval type for linear matrix Hamiltonian systems are established which are different from most known ones in the sense that they are based on the information only on a sequence of subinterval of [__t__~0~, โ) rather than on the whole hal
By employing the generalized Riccati technique and the integral averaging technique, new Kamenev-type oscillation criteria are established for a class of second-order matrix differential systems. These criteria extend, improve, and unify a number of existing results and handle the cases which are no