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DOI: 10.23671/VNC.2015.4.5970

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

Khaled Zennir , Salah Zitouni
Vladikavkaz Mathematical Journal 2015. Vol. 17. Issue 4.
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.
Keywords: blow up, Kirchhoff-type, wave equations, degenerately damped system, strong nonlinear source, positive initial energy, higher-order
Language: Russian
For citation: Zennir K., Zitouni S. On the absence of solutions to damped system of nonlinear  wave equations of Kirchhoff-type. Vladikavkazskii matematicheskii zhurnal [Vladikavkaz Math. J.], vol. 17, no. 4, pp.44-58. DOI 10.23671/VNC.2015.4.5970
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