TITLE:
Periodic Solutions to Non-Autonomous Second-Order Dynamical Systems
AUTHORS:
An-Min Mao, Miao-Miao Yang
KEYWORDS:
Critical Point, Invariant Sets of Descending Flow, (PS) Condition
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.1 No.3,
June
3,
2011
ABSTRACT: We study the multiple existence of periodic solutions for a second-order non-autonomous dynamical systems (1). Using the method of invariant sets of descending flow and chain of rings theorem, we obtain the existence of seven -periodic solutions.