The lower estimate for wandering rate of solution to a linear equation in terms of its frequency

TL;DR

This paper establishes a lower bound for the wandering rate of solutions to third-order linear differential equations with variable coefficients, based on their frequency, providing insights into their dynamic behavior.

Contribution

It introduces a lower estimate for the wandering rate of solutions in relation to their frequency, a novel connection in the study of linear differential equations.

Findings

Lower estimate for wandering rate established

Relation between wandering rate and frequency demonstrated

Advances understanding of solution dynamics in linear equations

Abstract

This research article compares two characteristics of solutions of linear differential equations of the third order with variable coefficients. It appears that there is a lower estimate for wandering rate of solution to a linear equation in terms of its frequency.