This article is cited in 2 papers

On the absence of solutions to damped system of nonlinear wave equations of Kirchhoff-type

Kh. Zennir^ab, S. Zitouni<sup>c

a</sup> 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.

MSC: 35L05, 58J45

Received: 19.03.2014

Language: English