## Taiwanese Journal of Mathematics

### Blow up Solutions to a System of Higher-order Kirchhoff-type Equations with Positive Initial Energy

Amir Peyravi

#### Abstract

In this paper we investigate blow up property of solutions for a system of nonlinear higher order Kirchhoff equations with nonlinear dissipations and positive initial energy. Some estimates for lower bound of the blow up time are also given. This improves and extends the blow up results in [16] by Liu and Wang (2006) and Gao et al. [7] (2011).

#### Article information

Source
Taiwanese J. Math., Volume 21, Number 4 (2017), 767-789.

Dates
Revised: 13 October 2016
Accepted: 2 December 2016
First available in Project Euclid: 27 July 2017

https://projecteuclid.org/euclid.twjm/1501120834

Digital Object Identifier
doi:10.11650/tjm/6623

Mathematical Reviews number (MathSciNet)
MR3684386

Zentralblatt MATH identifier
06871345

#### Citation

Peyravi, Amir. Blow up Solutions to a System of Higher-order Kirchhoff-type Equations with Positive Initial Energy. Taiwanese J. Math. 21 (2017), no. 4, 767--789. doi:10.11650/tjm/6623. https://projecteuclid.org/euclid.twjm/1501120834

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