On the hyperbolic type differential equation with time involution


Уақытты инволюциялы гиперболалық типтi дифференциалдық теңдеу жайында
О дифференциальном уравнении гиперболического типа с инволюцией по времени
Ashyralyev A. Ashyralyyev A. Abdalmohammed B.
2023E.A. Buketov Karaganda University Publish house

Bulletin of the Karaganda University. Mathematics Series
2023#109Issue 138 - 47 pp.

In the present paper, the initial value problem for the hyperbolic type involutory in t second order linear partial differential equation is studied. The initial value problem for the fourth order partial differential equations equivalent to this problem is obtained. The stability estimates for the solution and its first and second order derivatives of this problem are established.

Banach space , involutory type hyperbolic equation , stability

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Bahcesehir University, Istanbul, Turkey
Peoples’ Friendship University of Russia, RUDN University, Moscow, Russian Federation
Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan
Turkmen State Architecture and Construction Institute, Ashgabat, Turkmenistan

Bahcesehir University
Peoples’ Friendship University of Russia
Institute of Mathematics and Mathematical Modeling
Turkmen State Architecture and Construction Institute

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