一类一阶迭代泛函微分方程的解析解

Analytic Solutions of Certain First Order Iterative Functional Differential Equations

利用Schrder变换,给出了一类新的迭代泛函微分方程的解析解.讨论了未知函数在其不动点处的线性化特征值α在单位圆内和单位根的情况,并且给出了α在单位圆上接近于单位根时的结果.

By using the Schroder transformation, analytic solutions to certain new iterative functional differential equations are obtained. Not only that the eigenvalues a of the solutions at their fixed point is inside the unit circle and root of the unity is discussed,but also is a near a root of the unity.