Blow-up behavior of Hammerstein-type delay Volterra integral equations |
| |
Authors: | Zhanwen YANG Hermann BRUNNER |
| |
Affiliation: | 1. Science Research Center, Academy of Fundamental and Interdisciplinary Science; Department of Mathematics, Harbin Institute of Technology, Harbin 150001, China; 2. Department of Mathematics, Hong Kong Baptist University, Hong Kong SAR, China; Department of Mathematics and Statistics, Memorial University of Newfoundland, St. John’s, NL A1C 557, Canada |
| |
Abstract: | We consider the blow-up behavior of Hammerstein-type delay Volterra integral equations (DVIEs). Two types of delays, i.e., vanishing delay (pantograph delay) and non-vanishing delay (constant delay), are considered. With the same assumptions of Volterra integral equations (VIEs), in a similar technology to VIEs, the blow-up conditions of the two types of DVIEs are given. The blow-up behaviors of DVIEs with non-vanishing delay vary with different initial functions and the length of the lag, while DVIEs with pantograph delay own the same blow-up behavior of VIEs. Some examples and applications to delay differential equations illustrate this influence. |
| |
Keywords: | Delay Volterra integral equation (DVIE) non-vanishing delay vanishing delay blow-up of solution |
本文献已被 万方数据 SpringerLink 等数据库收录! |
| 点击此处可从《Frontiers of Mathematics in China》浏览原始摘要信息 |
|
点击此处可从《Frontiers of Mathematics in China》下载全文 |
|