MONOTONICITY AND CRITICAL-POINTS OF PERIOD

Authors
ZENG XW JING ZJ
Citation
Xw. Zeng et Zj. Jing, MONOTONICITY AND CRITICAL-POINTS OF PERIOD, Progress in Natural Science, 6(4), 1996, pp. 401-407
Citations number
3
Categorie Soggetti
Multidisciplinary Sciences
Journal title
Progress in Natural Science → ACNP
ISSN journal
10020071
Volume
6
Issue
4
Year of publication
1996
Pages
401 - 407
Database
ISI
SICI code
1002-0071(1996)6:4<401:MACOP>2.0.ZU;2-F
Abstract
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 n ecessary and sufficient condition for the period to have exactly one c ritical point is established, which improves the results of Chow-sande rs' and Gavrilov's.