A note on Kamenev type theorems for second order matrix differential systems
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- by Fanwei Meng, Jizhong Wang and Zhaowen Zheng PDF
- Proc. Amer. Math. Soc. 126 (1998), 391-395 Request permission
Abstract:
Some oscillation criteria are given for the second order matrix differential system $Y''+Q(t) Y=0$, where $Y$ and $Q$ are $n\times n$ real continuous matrix functions with $Q(t)$ symmetric, $t\in [t_0,\infty )$. These results improve oscillation criteria recently discovered by Erbe, Kong and Ruan by using a generalized Riccati transformation $V(t)=a(t)\{Y’(t) Y^{-1}(t) +f(t)I\}$, where $I$ is the $n\times n$ identity matrix, $f\in C^1$ is a given function on $[t_0,\infty )$ and $a(t)=\exp \{-2 \int ^t f(s) ds\}$.References
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Additional Information
- Fanwei Meng
- Affiliation: Department of Mathematics, Qufu Normal University, Qufu, Shandong, 273165, People’s Republic of China
- Jizhong Wang
- Affiliation: Department of Mathematics, Linyi Teacher’s College, Linyi, Shandong, 276005, People’s Republic of China
- Received by editor(s): May 25, 1996
- Additional Notes: The research is supported by the Natural Science Foundation of Shandong Province, P.R. China
- Communicated by: Hal L. Smith
- © Copyright 1998 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 126 (1998), 391-395
- MSC (1991): Primary 34C10
- DOI: https://doi.org/10.1090/S0002-9939-98-04248-8
- MathSciNet review: 1443844