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.
@article{1113247602,
author = {Huang, Lihong and Chen, Yuming and Wu, Jianhong},
title = {Boundedness of solutions for a class of nonlinear planar systems},
journal = {Tohoku Math. J. (2)},
volume = {54},
number = {1},
year = {2002},
pages = { 393-417},
language = {en},
url = {http://dml.mathdoc.fr/item/1113247602}
}
Huang, Lihong; Chen, Yuming; Wu, Jianhong. Boundedness of solutions for a class of nonlinear planar systems. Tohoku Math. J. (2), Tome 54 (2002) no. 1, pp. 393-417. http://gdmltest.u-ga.fr/item/1113247602/