On the boundedness of solution of the second order ordinary differential equation with damping term and involution

Allaberen Ashyralyev, Maral Ashyralyyeva, Ogulbabek Batyrova

2021

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DOI 10.31489/2021m2/16-24

Data confidence 70 medium

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Abstract

In the present paper the initial value problem for the second order ordinary differential equation with damping term and involution is investigated. We obtain equivalent initial value problem for the fourth order ordinary differential equations to the initial value problem for second order linear differential equations with damping term and involution. Theorem on stability estimates for the solution of the initial value problem for the second order ordinary linear differential equation with damping term and involution is proved. Theorem on existence and uniqueness of bounded solution of initial value problem for second order ordinary nonlinear differential equation with damping term and involution is established.