Partial differential equations with discrete and distributed state-dependent delays |
| |
Authors: | Alexander V Rezounenko |
| |
Institution: | Department of Mechanics and Mathematics, Kharkov University, 4, Svobody Sqr., Kharkov 61077, Ukraine |
| |
Abstract: | This work is an attempt to treat partial differential equations with discrete (concentrated) state-dependent delay. The main idea is to approximate the discrete delay term by a sequence of distributed delay terms (all with state-dependent delays). We study local existence and long-time asymptotic behavior of solutions and prove that the model with distributed delay has a global attractor while the one with discrete delay possesses the trajectory attractor. |
| |
Keywords: | Partial functional differential equation State-dependent delay Delay selection Global attractor Trajectory attractor |
本文献已被 ScienceDirect 等数据库收录! |