A Hilbert Space Perspective on Ordinary Differential Equations with Memory Term |
| |
Authors: | Anke Kalauch Rainer Picard Stefan Siegmund Sascha Trostorff Marcus Waurick |
| |
Institution: | 1. Institut für Analysis, Fachrichtung Mathematik, Technische Universit?t Dresden, Dresden, Germany
|
| |
Abstract: | We discuss ordinary differential equations with delay and memory terms in Hilbert spaces. By introducing a time derivative as a normal operator in an appropriate Hilbert space, we develop a new approach to a solution theory covering integro-differential equations, neutral differential equations and general delay differential equations within a unified framework. We show that reasonable differential equations lead to causal solution operators. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|