**I.-G. E. Kordonis, Ch. G. Philos, I. K. Purnaras**

## On the Behavior
of Solutions of Linear Neutral Integrodifferential Equations with Unbounded
Delay

**Abstract:**

A useful inequality for solutions of linear neutral integrodifferential
equations with unbounded delay is established, using a real root of the
corresponding characteristic equation. This inequality is used to obtain an
estimate for solutions, which leads to a stability criterion.

**Keywords:**

Integrodifferential equation, neutral equation, unbounded delay, asymptotic
behavior, stability.

**MSC 2000:** 34K20, 34K25, 34K40.