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
2011 ◽  
Vol 2011 ◽  
pp. 1-18 ◽  
Author(s):  
Alejandro Caicedo ◽  
Claudio Cuevas ◽  
Hernán R. Henríquez

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.


2017 ◽  
Vol 40 (1) ◽  
pp. 63-78 ◽  
Author(s):  
Xiaobin Yao ◽  
Qiaozhen Ma ◽  
Ling Xu

2012 ◽  
Vol 2012 ◽  
pp. 1-7
Author(s):  
Lifang Niu ◽  
Jianwen Zhang

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).


2001 ◽  
Vol 11 (04) ◽  
pp. 627-644 ◽  
Author(s):  
CLAUDIO GIORGI ◽  
VITTORINO PATA

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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