A Class of Linear Partial Neutral Functional Differential Equations with Nondense Domain
A Class of Linear Partial Neutral Functional Differential Equations with Nondense Domain
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DOI：
10.1006/jdeq.1998.3446
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发表时间：
1998-08
影响因子：
2.4
通讯作者：
M. Adimy;K. Ezzinbi
中科院分区：
文献类型：
--
作者：
M. Adimy;K. Ezzinbi
摘要考虑一类具有非稠密区域的线性偏中立型泛函微分方程组。积分解提供了一种自然的广义解概念。我们导出了一个常数变分公式，它允许我们将中立型方程的积分解转化为一个抽象的Volterra积分方程解。给出了基本的解的存在唯一性结果，并证明了这些解可以生成一个积分半群。
Abstract We consider a system of linear partial neutral functional differential equations with nondense domain. A natural generalized notion of solutions is provided by the integral solutions. We derive a variation-of-constants formula which allows us to transform the integral solutions of the neutral equation to solutions of an abstract Volterra integral equation. The basic existence and uniqueness results are given and the solutions are shown to generate an integrated semigroup.