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一类二阶线性非齐次抽象微分方程的两点边值问题
引用本文:罗德斌. 一类二阶线性非齐次抽象微分方程的两点边值问题[J]. 华中科技大学学报(城市科学版), 1991, 0(4)
作者姓名:罗德斌
作者单位:武汉城市建设学院基础科学系
基金项目:武汉城市建设学院自选科研资助。
摘    要: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。

关 键 词:C_o~(-1)类半群  抽象微分方程  两点边值问题

On the Two-point Boundary Value Problems for a Class of Two-order Linear Inhomogeneous Abstract Differential Equation
Luo Debin. On the Two-point Boundary Value Problems for a Class of Two-order Linear Inhomogeneous Abstract Differential Equation[J]. Journal of Huazhong University of Science and Technology, 1991, 0(4)
Authors:Luo Debin
Affiliation:Dept. of Basic Science
Abstract: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
Keywords:C_0~(-1) semigroup  abstract differential equation  two-point boundary value problem
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