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提出了一维非均匀分布参数系统的一种通用解法：渐近传递函数方法。对一般的一维非均匀分布参数系统，引入状态变量将控制方程及边界方程写成状态空间形式。通过定义小参数和摄动方法，使之变成常系数微分方程，从而得到问题的摄动解。各阶摄动解均具有规范的形式，是一以传递函数为积分核的积分形式解析解。文中最后给出了一些数值算例，验证了方法的有效性。
A general solution of one-dimensional inhomogeneous distributed parameter system is presented: Asymptotic transfer function method. For a general one-dimensional inhomogeneous distributed parameter system, the state variables are introduced to write the governing equations and the boundary equations into the state space form. By defining the small parameters and the perturbation method, it becomes a constant coefficient differential equation, and the perturbed solution to the problem is obtained. The perturbation solutions of each order have a canonical form, which is an integral form analytic solution whose transfer function is the integral kernel. Finally, some numerical examples are given to verify the effectiveness of the method.