On Some Mathematical Aspects of Autonomous Differential Equations

Abstract

This article is meant to give a strict mathematical explanation about class differential equations which are widely used in modeling of processes including economical ones. In a concentrated form are presented the main guidelines of analytical approach in the search of the periods of the periodic solutions. When finding the period of vibration under the effect of perturbed potential is used non-standard approach. However the obtained results are concerted to results which some well-known methods reveal.