On stability of a differential equation with aftereffect |
| |
Authors: | T L Sabatulina V V Malygina |
| |
Institution: | 1. Perm National Research Polytechnic University, Komsomol’skii pr. 29, Perm, 614990, Russia
|
| |
Abstract: | We study a linear differential equation with bounded aftereffect and establish conditions for the exponential and uniform stability of its solution in the form of domains in the parameter space. We construct examples that show the exactness of boundaries of stability domains for two classes of functional differential equations with concentrated and distributed delays. Along with classical methods of the functional analysis and function theory, we also use the test equations method. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |