A NOTE ON THE TELEGRAPH TYPE DIFFERENTIAL EQUATION WITH TIME INVOLUTION

Ashyralyev A. Ashyralyyeva M. Batyrova O.
2024 Jomard Publishing

Advanced Mathematical Models and Applications
2024 #9 Issue 2 173 - 192 pp.

In the present paper, the initial value problem for the telegraph type involutory in t second order linear partial differential equation with damping term is investigated. The equivalent initial value problem for the fourth order partial differential equations to the initial value problem for this second order linear partial differential equations with involution and damping term is obtained. Applying the operator tools, the stability estimates for the solution and its first and second order derivatives of this problem are established.

boundedness , Involutory type telegraph equation , stability

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Department of Mathematics, Bahcesehir University, Istanbul, Turkey
Peoples’ Friendship University of Russia (RUDN University), Moscow, Russian Federation
Institute of Mathematics and Mathematical Modeling, Almaty, 050010, Kazakhstan
Magtymguly Turkmen State University, Ashgabat, Turkmenistan
Oguz Han Engineering and Technology University of Turkmenistan, Ashgabat, Turkmenistan
Near East University, TRNC, Mersin 10, Nicosia, Turkey

Department of Mathematics
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
Near East University

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