求微分方程组反周期解的同伦方法

Homotopy Method for Antiperiodic Solutions of Differential Equations

研究一阶微分方程组的反周期解问题.在一般条件下,应用大范围收敛的同伦方法证明了微分方程反周期解的存在性.数值算例表明该方法是有效的.

This paper concerns the existence of antiperiodic solutions of first order ordinary differential equations. Under the commonly used condition in the literature, via the homotopy method, a global method for finding those solutions is proved. Numerical examples show this mthod is effective.