On the boundedness of solution of the second order ordinary differential equation with damping term and involution
Инволюциясы мен жойылып бара жатқан мүшесi бар екiншi реттi қарапайым дифференциалдық теңдеудiң шектелген шешiмi туралы
Об ограниченности решения обыкновенного дифференциального уравнения второго порядка с затухающим членом и инволюцией
Ashyralyev A. Ashyralyyeva M. Batyrova O.
2021E.A.Buketov Karaganda State University Publish House
Bulletin of the Karaganda University. Mathematics Series
2021#102Issue 216 - 24 pp.
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.
boundedness , differential equation with damping term and involution , existence , stability , uniqueness
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Near East University, Nicosia, Turkey
Peoples’ Friendship University of Russia (RUDN University), Moscow, Russian Federation
Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan
Magtymguly Turkmen State University, Ashgabat, Turkmenistan
Oguz Han Engineering and Technology University of Turkmenistan, Turkmenistan, Ashgabat, Turkmenistan
Near East University
Peoples’ Friendship University of Russia (RUDN University)
Institute of Mathematics and Mathematical Modeling
Magtymguly Turkmen State University
Oguz Han Engineering and Technology University of Turkmenistan
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