Asymptotic stability of a class of integro-differential equations |
| |
Authors: | Fred Brauer |
| |
Institution: | Department of Mathematics, University of Wisconsin, Madison, Wisconsin 53706 USA |
| |
Abstract: | We examine the asymptotic stability of the zero solution of the first-order linear equation x′(t) = Ax(t) + ∝0tB(t ? s) x(s) ds, where B(t) is integrable and does not change sign on 0, ∞). The results are applied to an examination of the stability of equilibrium of some nonlinear population models. |
| |
Keywords: | |
本文献已被 ScienceDirect 等数据库收录! |
|