Integrodifferential equations with applications to a plate equation with memory

2016 ◽  
Vol 289 (17-18) ◽  
pp. 2159-2172 ◽  
Author(s):  
Bruno de Andrade ◽  
Arlúcio Viana
Keyword(s):  
Integrodifferential Equations ◽  
Plate Equation ◽  
With Memory

scholarly journals Asymptotic Periodicity for a Class of Partial Integrodifferential Equations

2011 ◽  
Vol 2011 ◽  
pp. 1-18 ◽  
Author(s):  
Alejandro Caicedo ◽  
Claudio Cuevas ◽  
Hernán R. Henríquez
Keyword(s):  
Heat Conduction ◽  
Differential Equations ◽  
Periodic Solutions ◽  
Integral Equations ◽  
Integrodifferential Equations ◽  
Materials With Memory ◽  
Asymptotic Periodicity ◽  
With Memory ◽  
Equations With Delay

We study the existence of S-asymptotically ω-periodic solutions for a class of abstract partial integro-differential equations and for a class of abstract partial integrodifferential equations with delay. Applications to integral equations arising in the study of heat conduction in materials with memory are shown.

Global attractors for a Kirchhoff type plate equation with memory

2017 ◽  
Vol 40 (1) ◽  
pp. 63-78 ◽  
Author(s):  
Xiaobin Yao ◽  
Qiaozhen Ma ◽  
Ling Xu
Keyword(s):  
Global Attractors ◽  
Plate Equation ◽  
Kirchhoff Type ◽  
With Memory

scholarly journals Existence of Global Attractors for the Nonlinear Plate Equation with Memory Term

2012 ◽  
Vol 2012 ◽  
pp. 1-7
Author(s):  
Lifang Niu ◽  
Jianwen Zhang
Keyword(s):  
Rectangular Plate ◽  
Global Attractor ◽  
Exponential Decay ◽  
Global Attractors ◽  
Memory Term ◽  
Two Dimensional ◽  
Plate Equation ◽  
Memory Kernel ◽  
Nonlinear Plate ◽  
With Memory

A two-dimensional nonlinear plate equation is revisited, which arises from the model of the viscoelastic thin rectangular plate with four edges supported. We establish that the system is exponentially decayed if the memory kernel satisfies the condition of the exponential decay. Furthermore, we show the existence of the global attractor by verifying the condition (C).

scholarly journals STABILITY OF ABSTRACT LINEAR THERMOELASTIC SYSTEMS WITH MEMORY

2001 ◽  
Vol 11 (04) ◽  
pp. 627-644 ◽  
Author(s):  
CLAUDIO GIORGI ◽  
VITTORINO PATA
Keyword(s):  
Continuous Dependence ◽  
Kirchhoff Plate ◽  
Plate Equation ◽  
Exponentially Stable ◽  
Systems With Memory ◽  
With Memory ◽  
Continuous Dependence Results

An abstract linear thermoelastic system with memory is here considered. Existence, uniqueness, and continuous dependence results are given. In presence of regular and convex memory kernels, the system is shown to be exponentially stable. An application to the Kirchhoff plate equation is given.

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