Averaging in multifrequency systems with multi-point conditions and a delay

Abstract

For multifrequency system of differential equations with a discrete and integral delay we find conditions for the existence and uniqueness of the solution. Linear multipoint conditions are set for the solution. An estimate of the error of the averaging method is obtained, which clearly depends on the small parameter.

Keywords

• multifrequency system
• averaging method
• resonance
• integral delay
• linearly transformed argument