| 来源类型 | Article |
| 规范类型 | 其他 |
| DOI | 10.1007/s10884-017-9611-5 |
| Finite Dimensional State Representation of Linear and Nonlinear Delay Systems. | |
| Diekmann O; Gyllenberg M; Metz JAJ | |
| 发表日期 | 2018 |
| 出处 | Journal of Dynamics and Differential Equations 30 (4): 1439-1467 |
| 出版年 | 2018 |
| 语种 | 英语 |
| 摘要 | We consider the question of when delay systems, which are intrinsically infinite dimensional, can be represented by finite dimensional systems. Specifically, we give conditions for when all the information about the solutions of the delay system can be obtained from the solutions of a finite system of ordinary differential equations. For linear autonomous systems and linear systems with time-dependent input we give necessary and sufficient conditions and in the nonlinear case we give sufficient conditions. Most of our results for linear renewal and delay differential equations are known in different guises. The novelty lies in the approach which is tailored for applications to models of physiologically structured populations. Our results on linear systems with input and nonlinear systems are new. |
| 主题 | Evolution and Ecology (EEP) |
| 关键词 | Linear chain trick Delay-differential equation Renewal equation Markov chain Physiologically structured populations Epidemic models |
| URL | http://pure.iiasa.ac.at/id/eprint/14804/ |
| 来源智库 | International Institute for Applied Systems Analysis (Austria) |
| 引用统计 | |
| 资源类型 | 智库出版物 |
| 条目标识符 | http://119.78.100.153/handle/2XGU8XDN/131239 |
| 推荐引用方式 GB/T 7714 | Diekmann O,Gyllenberg M,Metz JAJ. Finite Dimensional State Representation of Linear and Nonlinear Delay Systems.. 2018. |
| 条目包含的文件 | ||||||
| 文件名称/大小 | 资源类型 | 版本类型 | 开放类型 | 使用许可 | ||
| Diekmann%20et%20al%2（311KB） | 智库出版物 | 限制开放 | CC BY-NC-SA | 浏览 | ||
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