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]

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. © 2023 Authors. All rights reserved.

Authors
Ashyralyev A. , Ashyralyyev A. , Abdalmohammed B.
Journal
BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS
Publisher
KARAGANDA STATE UNIV
Number of issue
1
Language
English
Pages
38-47
Status
Published
Link
External link
DOI
10.31489/2023M1/38-47
Volume
109
Year
2023
Organizations
  • 1 Bahcesehir University, Istanbul, Turkey
  • 2 Peoples’ Friendship University of Russia, RUDN University, Moscow, Russian Federation
  • 3 Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan
  • 4 Turkmen State Architecture and Construction Institute, Ashgabat, Turkmenistan
Keywords
Banach space; involutory type hyperbolic equation; stability
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