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

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

abstract:
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.