On the Boundedness of Solution of the Second Order Ordinary Differential Equation with Involution

Volume 22 , Issue 2 , December 2020 , Pages 237-246

Authors

Allaberen Ashyralyev 1 ; Barez Abdalmohammed 1

1 Department of Mathematics, Near East University, Nicosia, Mersin 10, Turkey.

DOI logo 10.17656/jzs.10824

Keywords

Abstract

In the present paper, the initial value problem for the second order ordinary differential equation with 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 involution. Theorem on stability estimates for the solution of the initial value problem for the second order ordinary linear differential equation with involution is proved. Theorem on existence and uniqueness of bounded solution of initial value problem for second order ordinary nonlinear differential equation with involution is established.

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  • Published at20 December 2020

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