| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 8053518 | Applied Mathematics Letters | 2018 | 8 Pages |
Abstract
A. M. Lyapunov proved the inequality that makes it possible to estimate the distance between two consecutive zeros a and b of solutions of a linear differential equation of the second order xÌ(t)+q(t)x(t)=0 where q(t) is a continuous function for tâ[a,b]. In the present note, a similar problem is solved for a differential equation of the form ddtxÌ1âxÌ2+p(t)xÌ+q(t)x=0. The obtained inequality is applied to the estimate of the period of a periodic solution of relativistic differential Van der Pol equation.
Keywords
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Physical Sciences and Engineering
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Computational Mechanics
Authors
A.O. Ignatyev,