一类广义Liénard系统周期解的不存在性

On the nonexistence of periodic solutions for a class of generalized Lienard system

研究了一类广义Lienard系统周期解的不存在性,得到了系统(E)具有多个奇点时不存在非平凡周期解的若干充分条件。运用和发展了文[1-5]的方法,指出并更正了文[1]中的疏露,改进和推广了文[1-5]中的相应结果.

The nonexistence of periodic solutions for the following generalized Lienard system(E)is studied, some sufficient conditions about the nonexistence of nontrivial periodic solutions for (E) are given. The methods in [1-5] are used and developed; the results extend and improve the corresponding results in [1-5], and correct the negligences appeared in[1].