摘要
本文获得了常微分方程组在G（t，u）次线性并满足一定的强制性条件下的2π-周期解的存在性．
In this paper, we obtain two existence results for 2π-periodic solutions of the following sublinear ordinary differential equations at resonance: u(t) + m2u(t)+ G(t, u(t)) =0 under coercive conditions on G(t, u) by critical point theorem.
出处
《数学学报（中文版）》
SCIE
CSCD
北大核心
2000年第4期639-644,共6页
Acta Mathematica Sinica：Chinese Series
基金
国家自然科学基金!19871009
关键词
常微分方程组
周期解
临界点定理
共振
存在性
Ordinary differential systems
Periodic solutions
Critical point theorem
