scholarly journals Stability result of a suspension bridge Problem with time-varying delay and time-varying weight

2021 ◽  
Author(s):  
Soh Edwin Mukiawa
Keyword(s):  
Stability Result ◽  
Suspension Bridge ◽  
Energy Functional ◽  
Weight Functions ◽  
Time Varying ◽  
Plate Equation ◽  
Time Varying Delay ◽  
Bridge Problem ◽  
Plate Equations ◽  
Varying Delay

AbstractIn this paper, we study a plate equation as a model for a suspension bridge with time-varying delay and time-varying weights. Under some conditions on the delay and weight functions, we establish a stability result for the associated energy functional. The present work extends and generalizes some similar results in the case of wave or plate equations.

scholarly journals Well-Posedness and Stability Result of the Nonlinear Thermodiffusion Full von Kármán Beam with Thermal Effect and Time-Varying Delay

2021 ◽  
Vol 2021 ◽  
pp. 1-16
Author(s):  
Abdelbaki Choucha ◽  
Djamel Ouchenane ◽  
Salah Mahmoud Boulaaras ◽  
Bahri Belkacem Cherif ◽  
Mohamed Abdalla
Keyword(s):  
Stability Result ◽  
Beam Model ◽  
Well Posedness ◽  
Time Varying ◽  
Heat And Mass Exchange ◽  
Time Varying Delay ◽  
Von Karman ◽  
Diffusion Effects ◽  
Von Kármán ◽  
Varying Delay

In this work, we consider a new full von Kármán beam model with thermal and mass diffusion effects according to the Gurtin-Pinkin model combined with time-varying delay. Heat and mass exchange with the environment during thermodiffusion in the von Kármán beam. We establish the well-posedness and the exponential stability of the system by the energy method under suitable conditions.

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