Kamenev-type oscillation criteria for second-order matrix differential systems
โ Scribed by Qi-Ru Wang; Xiao-Ming Wu; Si-Ming Zhu
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 377 KB
- Volume
- 16
- Category
- Article
- ISSN
- 0893-9659
No coin nor oath required. For personal study only.
โฆ Synopsis
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 not covered by known criteria. In particular, two interesting examples that illustrate the importance of our results are included.
๐ SIMILAR VOLUMES
We establish new Kamenev-type criteria for oscillation of the second-order linear dif- on a measure chain. Our results are extensions of those for differential equations and provide new oscillation criteria for difference equations. Several examples are given to show the significance of the results
Using a generalization of Sturm's comparison theorem, some new oscillation criteria are established for the matrix differential system with damping Our results are sharper than some previous results.
Oscillation criteria for the nonlinear second-order ordinary differential equation with damping x + p t x + f x = 0 are given. The results are extensions of integral averaging technique of Kamenev and include earlier results of Yeh, Yan, and Chen.
## Abstract By employing the generalized Riccati technique and the integral averaging technique, new 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 a number of cases not c