Solution of parabolic integro-differential equations arising in heat conduction in materials with memory via He's variational iteration technique

2010 ◽  
pp. n/a-n/a ◽  
Author(s):  
Mehdi Dehghan ◽  
Fatemeh Shakeri
Keyword(s):  
Heat Conduction ◽  
Differential Equations ◽  
Materials With Memory ◽  
Variational Iteration ◽  
With Memory ◽  
Iteration Technique

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.

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