M. J. Alves, A. V. Chistyakov, and P. M. Simonov

On Sufficient condition of stability for the first order differential equation with retarded argument

The condition of admissibility of couples of spaces is obtained with the help of the ${\cal W}-$method for a differential equation with one concentrated delay. This test is similar to the well-known A. D.~Myshkis test on asymptotic stability of such an equation.

Mathematics Subject Classification: 34K20, 34K25.

Key words and phrases: Functional differential equations, stability, admissibility.