scholarly journals A blow-up result for a higher-order nonlinear Kirchhoff-type hyperbolic equation

2007 ◽  
Vol 20 (8) ◽  
pp. 866-871 ◽  
Author(s):  
Salim A. Messaoudi ◽  
Belkacem Said Houari
Keyword(s):  
Hyperbolic Equation ◽  
Blow Up ◽  
Higher Order ◽  
Kirchhoff Type

scholarly journals Existence, Decay, and Blow-Up of Solutions for a Higher-Order Kirchhoff-Type Equation with Delay Term

2021 ◽  
Vol 2021 ◽  
pp. 1-11
Author(s):  
Hazal Yüksekkaya ◽  
Erhan Pişkin ◽  
Salah Mahmoud Boulaaras ◽  
Bahri Belkacem Cherif
Keyword(s):  
Blow Up ◽  
Type Equation ◽  
Initial Boundary ◽  
Initial Energy ◽  
Higher Order ◽  
Delay Term ◽  
Kirchhoff Type ◽  
Kirchhoff Type Equation ◽  
Decay Of Solutions ◽  
Equation With Delay

This article deals with the study of the higher-order Kirchhoff-type equation with delay term in a bounded domain with initial boundary conditions, where firstly, we prove the global existence result of the solution. Then, we discuss the decay of solutions by using Nakao’s technique and denote polynomially and exponentially. Furthermore, the blow-up result is established for negative initial energy under appropriate conditions.

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