Monotonicity and critical points of period

1996Mathematics被引 1

摘要

The period of periodic solutions of equation x+g(x) = 0 is studied. A criterion is given for the period to be increasing or decreacing. By applying the criterion to the case where g is a cubic polynomial, a necessary and sufficient condition for the period to have exactly one critical point is established, which improves the results of Chow-Sanders' and Gavrilov's.

引用本文（GB/T 7714）

Xianwu Zeng, Zhujun Jing. Monotonicity and critical points of period[J]. 未知来源, 1996.

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