Article
Kyungpook Mathematical Journal 2021; 61(1): 1-10
Published online March 31, 2021
Copyright © Kyungpook Mathematical Journal.
Blow-up of Solutions for Higher-order Nonlinear Kirchhofftype Equation with Degenerate Damping and Source
Yong Han Kang∗, Jong-Yeoul Park
Francisco College, Daegu Catholic University, Gyeongsan 712-702, Republic of Korea
e-mail : yonghann@cu.ac.kr
Department of Mathematics, Pusan National University, Busan 609-735, Republic of Korea
e-mail : jyepark@pusan.ac.kr
Received: November 1, 2020; Revised: November 29, 2020; Accepted: December 14, 2020
This paper is concerned the finite time blow-up of solution for higher-order nonlinear Kirchhoff-type equation with a degenerate term and a source term. By an appropriate Lyapunov inequality, we prove the finite time blow-up of solution for equation (1.1) as a suitable conditions and the initial data satisfying
Keywords: Kirchoff-type equation, blow up, higher-order nonlinear, degenerate damping and source