On the initial and terminal value problem for a class of semilinear strongly material damped plate equations

2020 ◽  
Vol 492 (2) ◽  
pp. 124481
Author(s):  
Nguyen Huy Tuan ◽  
Vo Van Au ◽  
Runzhang Xu ◽  
Renhai Wang
Keyword(s):  
Plate Equations ◽  
Terminal Value Problem

Forced vibrations of SC-cut quartz crystal rectangular plates with partial electrodes by the Lee plate equations

Ultrasonics ◽  
2016 ◽  
Vol 65 ◽  
pp. 338-344 ◽  
Author(s):  
Rongxing Wu ◽  
Wenjun Wang ◽  
Guijia Chen ◽  
Jianke Du ◽  
Tingfeng Ma ◽  
...  
Keyword(s):  
Quartz Crystal ◽  
Forced Vibrations ◽  
Rectangular Plates ◽  
Plate Equations

scholarly journals Contact Symmetries of a Model in Optimal Investment Theory

Symmetry ◽  
2021 ◽  
Vol 13 (2) ◽  
pp. 217
Author(s):  
Daniel J. Arrigo ◽  
Joseph A. Van de Grift
Keyword(s):  
Differential Equations ◽  
Exact Solutions ◽  
Governing Equation ◽  
Optimal Investment ◽  
Original Equation ◽  
Case Scenario ◽  
Investment Theory ◽  
Symmetries Of Differential Equations ◽  
Contact Symmetry ◽  
Terminal Value Problem

It is generally known that Lie symmetries of differential equations can lead to a reduction of the governing equation(s), lead to exact solutions of these equations and, in the best case scenario, lead to a linearization of the original equation. In this paper, we consider a model from optimal investment theory where we show the governing equation possesses an extensive contact symmetry and, through this, we show it is linearizable. Several exact solutions are provided including a solution to a particular terminal value problem.

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.

Decay rates of the plate equations

2005 ◽  
Vol 278 (14) ◽  
pp. 1647-1658 ◽  
Author(s):  
K. Ammari ◽  
M. Khenissi
Keyword(s):  
Decay Rates ◽  
Plate Equations

Structural acoustic problem and dynamic nonlinear plate equations

2020 ◽  
pp. 1-21
Author(s):  
Jaouad Oudaani ◽  
Mustapha Raïssouli ◽  
Abdelkrim El Mouatasim
Keyword(s):  
Nonlinear Plate ◽  
Acoustic Problem ◽  
Plate Equations ◽  
Nonlinear Plate Equations
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