Vera V. Malygina

On Sharp Estimation of the Exponent of Solutions to Some Classes of Functional Differential Equations

A method for determining the sharp exponent of solutions to exponentially stable differential-difference equations is proposed. The equations with a single delay and with real and complex coefficients, as examples, are considered. For these equations, the dependence of such an exponent on the coefficient in both analytical and geometric form is found.

Mathematics Subject Classification: 34K12, 34K20

Key words and phrases: Functional differential equation, fundamental solution, exponential stability, upper exponent