文章基本信息
- 标题：Linear neutral partial differential equations: a semigroup approach
- 本地全文：下载
- 作者：Rainer Nagel ; Nguyen Thieu Huy
- 期刊名称：International Journal of Mathematics and Mathematical Sciences
- 印刷版ISSN：0161-1712
- 电子版ISSN：1687-0425
- 出版年度：2003
- 卷号：2003
- 期号：23
- 页码：1433-1445
- DOI：10.1155/S0161171203209157
- 出版社：Hindawi Publishing Corporation
- 摘要：
We study linear neutral PDEs of the form ( ∂ / ∂ t ) F u t = B F u t + Φ u t , t ≥ 0 ; u 0 ( t ) = φ ( t ) , t ≤ 0 , where the function u ( ⋅ ) takes values in a Banach space X . Under appropriate conditions on the difference operator F and the delay operator Φ , we construct a C 0 -semigroup on C 0 ( ℝ − , X ) yielding the solutions of the equation.
