Tohoku Mathematical Journal
2002
September
SECOND SERIES VOL. 54, NO. 3

Tohoku Math. J.
54 (2002), 393-417

Title BOUNDEDNESS OF SOLUTIONS FOR A CLASS OF NONLINEAR PLANAR SYSTEMS

Author Lihong Huang, Yuming Chen and Jianhong Wu

(Received January 25, 1999, revised March 22, 2001)
Abstract. 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.

2000 Mathematics Subject Classification. Primary 34C11; Secondary 34D40.
Key words and phrases. boundedness, planar system, Liénard equation.

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