常微分方程和高阶抛物方程耦合的初边值问题

The Initial Boundary Value Problems for Coupled Ordinary Differential Equations and Higher Order Parabolic Equations

本文利用非线性半群理论证明了常微分方程和高阶半线性抛物方程耦合的初边值问题(1.6)～(1.9)的广义解的存在性和唯一性。

In this paper, the existence and uniqueness of generalized solution for the initial boundary value problems (1.6)～(1.9) of coupled ordinary differential equations and higher order parabolic equations are proved by means of the theory of nonlinear semigroup.