一类二阶线性非齐次抽象微分方程的两点边值问题

On the Two-point Boundary Value Problems for a Class of Two-order Linear Inhomogeneous Abstract Differential Equation

本文利用半群理论在 Banach 空间中考虑一类二阶线性非齐次抽象微分方程的两点边值问题解的存在唯一性,并给出一个简单应用。

This paper uses the semigroups theory to prove the existness and uniqueness of solution of two-point boundary value problem for a class of two-order linear inhomogeneous abstract dif- ferential equation and gives an application to partial differential equation