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Vladikavkazskii Matematicheskii Zhurnal, 2015, Volume 17, Number 4, Pages 44–58
(Mi vmj561)
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This article is cited in 2 scientific papers (total in 2 papers)
On the absence of solutions to damped system of nonlinear wave equations of Kirchhoff-type
Kh. Zennirab, S. Zitounic
a Department of Mathematics, College of Sciences and Arts, Al-Ras, Al-Qassim University, Kingdom of Saudi Arabia
b Laboratory of Lamahis, Department of Mathematics, University 20 Aout 1955, Skikda 21000, Algeria
c Department of Mathematics, University Badji Mokhtar, Annaba 23000, Algeria
Abstract:
In higher-order function spaces, some techniques are used to give the nonexistence result to system of wave equations in the Kirchhoff type, to generalize earlier results in the literature.
Key words:
blow up, Kirchhoff-type, wave equations, degenerately damped system, strong nonlinear source, positive initial energy, higher-order.
Received: 19.03.2014
Citation:
Kh. Zennir, S. Zitouni, “On the absence of solutions to damped system of nonlinear wave equations of Kirchhoff-type”, Vladikavkaz. Mat. Zh., 17:4 (2015), 44–58
Linking options:
https://www.mathnet.ru/eng/vmj561 https://www.mathnet.ru/eng/vmj/v17/i4/p44
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