摘要
首先运用分步法证明了D-算子型线性中立型泛函微分方程的解在R内是存在的,然后讨论了其解的连续性和可微性,得到了D算子型线性中立型泛函微分方程的解在R内是连续的,但有可能是处处不可微的.
In this paper,the authors prove that the solution to the Cauchy problem of linear neutral functional differential equation with D-operator exists on（-∞,＋∞） by using step method in the first.Then the continuity and differentiability of the solutions is discussed.We obtain that the solution is continuous,but may not be differentiable in its domain.
出处
《安徽师范大学学报（自然科学版）》
CAS
北大核心
2011年第1期10-14,共5页
Journal of Anhui Normal University(Natural Science)
基金
教育部科学技术重点项目(207047)
关键词
D-算子
中立型泛函微分方程
连续性
可微性
D-operator
neutral functional differential equation
continuity
differentiability
