General decay of solutions of a wave equation with memory term and acoustic boundary condition

2016 ◽  
Author(s):  
A. Vicente ◽  
C. L. Frota
Keyword(s):  
Boundary Condition ◽  
Wave Equation ◽  
General Decay ◽  
Memory Term ◽  
Acoustic Boundary Condition ◽  
Decay Of Solutions ◽  
With Memory

scholarly journals General decay and blow-up of solutions for a nonlinear wave equation with memory and fractional boundary damping terms

2020 ◽  
Vol 2020 (1) ◽  
Author(s):  
Salah Boulaaras ◽  
Fares Kamache ◽  
Youcef Bouizem ◽  
Rafik Guefaifia
Keyword(s):  
Wave Equation ◽  
Nonlinear Wave ◽  
Nonlinear Wave Equation ◽  
Lyapunov Functional ◽  
Blow Up ◽  
Initial Energy ◽  
General Decay ◽  
Memory Term ◽  
Decay Of Solutions ◽  
With Memory

AbstractThe paper studies the global existence and general decay of solutions using Lyapunov functional for a nonlinear wave equation, taking into account the fractional derivative boundary condition and memory term. In addition, we establish the blow-up of solutions with nonpositive initial energy.

scholarly journals A New General Decay Rate of Wave Equation with Memory-Type Boundary Control

2021 ◽  
Vol 2021 ◽  
pp. 1-11
Author(s):  
Sheng Fan
Keyword(s):  
Wave Equation ◽  
Decay Rate ◽  
General Decay ◽  
Forced Oscillations ◽  
Memory Term ◽  
General Decay Rate ◽  
Damped Oscillations ◽  
Memory Type ◽  
Type Boundary ◽  
With Memory

Of interest is a wave equation with memory-type boundary oscillations, in which the forced oscillations of the rod is given by a memory term at the boundary. We establish a new general decay rate to the system. And it possesses the character of damped oscillations and tends to a finite value for a large time. By assuming the resolvent kernel that is more general than those in previous papers, we establish a more general energy decay result. Hence the result improves earlier results in the literature.

scholarly journals Global solutions and general decay for the dispersive wave equation with memory and source terms

2020 ◽  
Vol 4 (2) ◽  
pp. 116-122
Author(s):  
Mohamed Mellah ◽  
Keyword(s):  
Wave Equation ◽  
Global Solutions ◽  
Initial Boundary ◽  
Initial Boundary Value Problem ◽  
General Decay ◽  
Dispersive Wave ◽  
Source Terms ◽  
Initial Boundary Value ◽  
With Memory ◽  
Dispersive Wave Equation

This paper concerns with the global solutions and general decay to an initial-boundary value problem of the dispersive wave equation with memory and source terms

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