Sergey Shchogolev

On the Reduction of the Differential Multi-Frequency System with Slowly Varying Parameters to a Special Kind

abstract:
For the multi-frequency system of the differential equations the right-hand sides of which are represented by a multiple Fourier series with slowly varying coefficients, the conditions are obtained under which there exists the transformation with the coefficients of similar structure leading this system to a system with slowly varying right-hand sides.

Mathematics Subject Classification: 34C20, 34C46

Key words and phrases: Multi-frequency, slowly varying, transformation