References
- Aifantis , E C . 1980 . On the problem of diffusion in solids . Acta Mech , 37 : 265 – 296 . doi: 10.1007/BF01202949
- Lions , J L and Magenes , E . 1972 . Non-homogeneous boundary value problems and applications , Spring-verlag .
- Kalantarov , V K . 1986 . On the attractors for some non-linear problems of mathematical physics . Zap Nauch Sem LOMI , 152 : 50 – 54 .
- Xiao , Y L . 2002 . Attractors for a nonclassical diffusion equation . Acta Math Appl Sinica , 18 : 273 – 276 . doi: 10.1007/s102550200026
- Sun , C Y , Wang , S Y and Zhong , C K . 2007 . Global attractors for a nonclassical diffusion equation . Acta math sinica, English series , 23 : 1271 – 1280 . doi: 10.1007/s10114-005-0909-6
- Temam , R . 1997 . Infinite-dimensional dynamical systems in mechanics and physic , Springer .
- Ma , Q Z and Zhong , C K . 2004 . Global attractors of strong solutions to nonclassical diffusion equations . J Lanzhou Univ , 40 : 7 – 9 .
- Wang , S Y , Li , D S and Zhong , C K . 2006 . On the dynamics of a class of nonclassical parabolic equations . J Math Anal Appl , 317 : 565 – 582 . doi: 10.1016/j.jmaa.2005.06.094
- Ma , Q Z , Liu , Y F and Zhang , F H . 2012 . Global attractors in for nonclassical diffusion equations . Discrete Dyn Nat Soc , : 1 – 16 . doi: 10.1155/2012/672762
- Sun , C and Yang , M . 2008 . Dynamics of the nonclassical diffusion equations . Asymptot Anal , 59 : 51 – 81 .
- Liu , Y F and Ma , Q Z . 2009 . Exponential attractors for a nonclassical diffusion equation . Electronic J Differ Equat , 2009 : 1 – 7 .
- Wang , X and Zhong , C K . 2009 . Attractors for the non-autonomous nonclassical diffusion equations with fading memory . Nonlinear Anal , 71 : 5733 – 5746 . doi: 10.1016/j.na.2009.05.001
- Dafermos , C M . 1970 . Asymptotic stability in viscoelasticity . Arch Ration Mech Anal , 37 : 297 – 308 . doi: 10.1007/BF00251609
- Pata , V and Squassina , M . 2005 . On the strongly damped wave equation . Comm Math Phys , 253 : 511 – 533 . doi: 10.1007/s00220-004-1233-1
- Borini , S and Pata , V . 1999 . Uniform attractors for a strongly damped wave equation with linear memory . Asymptot Anal , 20 : 263 – 277 .
- Conti , M , Pata , V and Squassina , M . 2006 . Singular limit of differential systems with memory . Indiana Univ Math J , 55 : 169 – 215 . doi: 10.1512/iumj.2006.55.2661
- Borini , S and Pata , V . 1999 . Uniform attractors for a strongly damped wave equation with linear memory . Asymptot Anal , 20 : 263 – 277 .
- Kloeden , P , Real , J and Sun , C . 2011 . Robust exopnential attractors for non-autonomous equations with memory . Comm Pure Appl Anal , 10 : 885 – 915 . doi: 10.3934/cpaa.2011.10.885
- Efendiev , M , Miranville , A and Zelik , S V . 2005 . Exponential attractors and infnite-dimensional reduction of non-autonomous dynamical systems . Proc Royal Soc Edin , 135A : 703 – 730 . doi: 10.1017/S030821050000408X
- Zelik , S V . 2004 . Asymptotic regularity of solutions of a non-autonomous damped wave equation with a critical growth exponent . Comm Pure Appl Anal , 3 : 921 – 934 . doi: 10.3934/cpaa.2004.3.921