scholarly journals The Inertial Manifolds for a Class of Higher-Order Coupled Kirchhoff-Type Equations

2018 ◽  
Vol 06 (05) ◽  
pp. 1055-1064
Author(s):  
Guoguang Lin ◽  
Sanmei Yang
Keyword(s):  
Higher Order ◽  
Inertial Manifolds ◽  
Kirchhoff Type

scholarly journals Inertial Manifolds for Generalized Higher-Order Kirchhoff Type Equations

2020 ◽  
Vol 12 (5) ◽  
pp. 67
Author(s):  
Guoguang Lin ◽  
Shuangyan Li
Keyword(s):  
Higher Order ◽  
Inertial Manifolds ◽  
Graph Norm ◽  
Strong Damping ◽  
Kirchhoff Type ◽  
Conversion Method

The existence of inertial manifolds for higher-order Kirchhoff type equations with strong damping terms is studied. The Hadamard graph norm conversion method is used for obtaining the existence of inertial manifolds for this kind of equations under certain spectral intervals.

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
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