On the stability in terms of two measures of perturbed neutral functional differential equations

Abstract

Different concepts of stability are presented in the literature. To recall a few, we name the usual stability, partial stability and the conditional stability. The overall concepts of stability can be put forward in the notion of stability in terms of two different measures. Following Movchan [12], many authors have successfully developed the theory of stability in terms of two measures, which became important in the investigation of converse theorems. See [1], [3], [8], [9], [10], [13].