Journals Information
Mathematics and Statistics Vol. 2(6), pp. 219 - 229
DOI: 10.13189/ms.2014.020604
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Blow up of Solutions for a System of Nonlinear Higher-order Kirchhoff-type Equations
Erhan Piskin *
Dicle University, Department of Mathematics, 21280 Diyarbakır, Turkey
ABSTRACT
In this work, we consider the initial boundary value problem for the Kirchhoff-type equations with damping and source terms in a bounded domain. We prove the blow up of the solution with positive initial energy by using the technique of [26] with a modification in the energy functional due to the different nature of problems. This improves earlier results in the literature [3, 9, 13, 21].
KEYWORDS
Blow up, Higher-order Kirchhoff Type Equations, Nonlinear Damping and Source Terms
Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] Erhan Piskin , "Blow up of Solutions for a System of Nonlinear Higher-order Kirchhoff-type Equations," Mathematics and Statistics, Vol. 2, No. 6, pp. 219 - 229, 2014. DOI: 10.13189/ms.2014.020604.
(b). APA Format:
Erhan Piskin (2014). Blow up of Solutions for a System of Nonlinear Higher-order Kirchhoff-type Equations. Mathematics and Statistics, 2(6), 219 - 229. DOI: 10.13189/ms.2014.020604.