Tohoku Mathematical Journal
- Tohoku Math. J. (2)
- Volume 54, Number 3 (2002), 393-417.
Boundedness of solutions for a class of nonlinear planar systems
We establish various new boundedness results for a class of nonlinear planar systems including some generalized Liénard equations. These results represent significant improvement and generalization of many existing ones in the literature. Our sufficient conditions are sharp in the sense that for some special but quite general cases, they coincide with the necessary conditions. Three illustrative examples are given.
Tohoku Math. J. (2), Volume 54, Number 3 (2002), 393-417.
First available in Project Euclid: 11 April 2005
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Huang, Lihong; Chen, Yuming; Wu, Jianhong. Boundedness of solutions for a class of nonlinear planar systems. Tohoku Math. J. (2) 54 (2002), no. 3, 393--417. doi:10.2748/tmj/1113247602. https://projecteuclid.org/euclid.tmj/1113247602