非线性微分方程的正周期解

• 作 者: 刘玉记 葛渭高
• 机 构: Dept. of Math.,Dept. of Appl. Math.
• 出 处: 高校应用数学学报B辑
• 发表日期: 2004年期
• 关键词: positive periodic solution differential equation fixed-point theorem growth cond
• 基金项目: 国家自然科学基金;湖南省教委自然科学基金

The nonlinear differential equation x′(t)=-δ(t)x(t)+f(t,x(t))(*) is considered,where δ(t) is a periodic function of periodic T,f(t,x) is continuous and periodic in t .It is showed that (*) has at leasttwo positive T -periodic solutions under certain growth conditions imposed on f .Applications will be presented to illustrate the main results.