Perturbation Theory for the Systems of Ordinary Linear Differential Equations with Periodical Coefficients

TL;DR

This paper introduces a perturbation theory approach adapted from quantum mechanics to approximately solve systems of linear differential equations with periodic coefficients, enhancing analytical tools for such problems.

Contribution

It develops a novel perturbation method based on quantum mechanics techniques for solving linear differential systems with periodic coefficients.

Findings

Enables approximate solutions for periodic linear systems

Adapts quantum mechanics methods to differential equations

Provides a new analytical framework

Abstract

The method, proposed in the given work, allows the application of well developed standard methods used in quantum mechanics for approximate solution of the systems of ordinary linear differential equations with periodical coefficients.