On the uniform asymptotic stability for a linear integro-differential equation of Volterra type

[摘要] In this paper, we give a necessary and sufficient condition on the uniform asymptotic stability of the zero solution of a linear integro-differential equation of Volterra type where the ordinary part is ax(t). We put emphasis on the case a > 0. The proofs of our results are carried out by using the root analysis of the characteristic equation. In Section 5 we give some conjectures. (c) 2005 Elsevier Inc. All rights reserved.

[发布日期] 2006-12-15

[关键词] asymptotic stability;integro-differential equation;stability region;characteristic equation;delay