**N. Kh. Rozov**

## Mathematical Theory of The Bufferness Phenomenon in Oscillatory Systems with Distributed Parameters

**abstract:**

A theoretical approach is presented to the investigation of the bufferness
phenomenon in systems of differential equations. This phenomenon means the
following: under an appropriate ch\v{o}ice of parameters, the equation has any
prescribed number of steady periodic solutions.

**Mathematics Subject Classification:**
35B10, 35B20.

**Key words and phrases:**
Partial differential equations, singular
perturbation, periodic solution, bufferness, oscillation.