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

被引：1

作者：

Ashyralyev, A. ^{[1
,2
,3
]}

Ashyralyyeva, M. ^{[4
]}

Batyrova, O. ^{[1
,5
]}

机构：

[1] Near East Univ, Nicosia, Turkey

[2] RUDN Univ, Peoples Friendship Univ Russia, Moscow, Russia

[3] Inst Math & Math Modeling, Alma Ata, Kazakhstan

[4] Magtymguly Turkmen State Univ, Ashkhabad, Turkmenistan

[5] Oguz Han Engn & Technol Univ Turkmenistan, Ashkhabad, Turkmenistan

来源：

BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS | 2021年 / 102卷 / 02期

关键词：

differential equation with damping term and involution; stability; boundedness; existence and uniqueness;

D O I：

10.31489/2021M2/16-24

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：16 / 24

页数：9

共 7 条

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[3] Cabada A., 2015, DIFF EQUAT+, V1st ed.
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[5] Nisbet RM., 1997, Structured-population models in marine, terrestrial, and freshwater systems, P89
[6] Przeworska-Rolewicz D., 1973, EQUATIONS TRANSFORME
[7] Wiener J., 1993, GEN SOLUTIONS FUNCTI

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