一类三阶非线性微分方程概周期解的存在性

ON THE EXISTENCE OF ALMOST PERIODIC SOLUTIONS OF CERTAIN THIRD ORDER DIFFRENTIAL EQUATIONS

应用Leray-Schauder不动点定理,结合运用Liapunov函数,研究了一类三阶非线性微分方程概周期解的存在性,得到了保证方程存在概周期解的一组充分条件。

By using the Leray-Schauder fixed point theorem and the method of Liapunov function, the existence of almost periodic solutions of the third order nonlinear differential equation is investigated and a sufficient condition is obtained.