scholarly journals Correction to: Solving procedure for the Kelvin–Kirchhoff equations in case of non-stationary rotations of slim disc

2021 ◽  
Author(s):  
Sergey V. Ershkov ◽  
Dmytro Leshchenko ◽  
Ayrat R. Giniyatullin
Keyword(s):  
Kirchhoff Equations

scholarly journals On the System of Coupled Nondegenerate Kirchhoff Equations with Distributed Delay: Global Existence and Exponential Decay

2021 ◽  
Vol 2021 ◽  
pp. 1-13
Author(s):  
Abdelbaki Choucha ◽  
Salah Mahmoud Boulaaras ◽  
Djamel Ouchenane ◽  
Salem Alkhalaf ◽  
Ibrahim Mekawy ◽  
...  
Keyword(s):  
Global Existence ◽  
Exponential Stability ◽  
Galerkin Method ◽  
Exponential Decay ◽  
Energy Method ◽  
Existence Of Solutions ◽  
Distributed Delay ◽  
Stability Result ◽  
Kirchhoff Equations ◽  
Global Existence Of Solutions

This paper studies the system of coupled nondegenerate viscoelastic Kirchhoff equations with a distributed delay. By using the energy method and Faedo-Galerkin method, we prove the global existence of solutions. Furthermore, we prove the exponential stability result.

scholarly journals Special solutions of Kirchhoff equations and their Lyapunov stability

2004 ◽  
Vol 53 (12) ◽  
pp. 4029
Author(s):  
Xue Yun ◽  
Chen Li-Qun ◽  
Liu Yan－Zhu
Keyword(s):  
Lyapunov Stability ◽  
Kirchhoff Equations ◽  
Special Solutions
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