[1] Lazer A C, McKenna P J. Large-amplitude periodic oscillations in suspension bridge:some new connections with nonlinear analysis. SIAM Review, 1990, 32:537-578
[2] Ahmed N U, Harbi H. Mathematical analysis of dynamic models of suspension bridges. SIAM J Appl Math, 1998, 58(3):853-874
[3] Litcanu G. A mathematical of suspension bridge. Appl Math, 2004, 49(1):39-55
[4] Zhong C K, Ma Q Z, Sun C Y. Existence of strong solutions and global attractors for the suspension bridge equations. Nonlinear Anal, 2007, 67:442-454
[5] Temam R. Infinite Dimensional Dynamical Systems in Mechanics and Physics. New York:Springer-Verlag, 1997
[6] Ma Q Z, Zhong C K. Existence of strong solutions and global attractors for the coupled suspension bridge equations. J Diff Equ, 2009, 246:3755-3775
[7] Ma Q Z, Wang S P, Chen X B. Uniform compact attractors for the coupled suspension bridge equations. Appl Math Comput, 2011, 15:6604-6615
[8] Park J Y, Kang J R. Pullback D-attractors for non-autonomous suspension bridge equations. Nonlinear Anal, 2009, 71:4618-4623
[9] Ma Q Z, Wang B L. Existence of pullback attractors for the coupled suspension bridge equations. Electronic J Diff Equ, 2011, 16:1-10
[10] Kang J R. Pullback attractors for the non-autonomous coupled suspension bridge equations. Appl Math Comput, 2013, 219:8747-8758
[11] Park J Y, Kang J R. Global attractor for suspension bridge equation with nonlinear damping. Quart Appl Math, 2011, 69:465-475
[12] Kang J R. Long-time behavior of a suspension bridge equations with past history. Appl Math Comput, 2015, 265:509-519
[13] Pata V, Zucchi A. Attractors for a damped hyperbolic equation with linear memory. Advances Math Sci Appl, 2001, 2:505-529
[14] Giorgi C, Muñoz Rivera J E, Pata V. Global attractors for a semilinear hyperbolic equation in viscoelasticity. J Math Anal Appl, 2001, 260:83-99
[15] Fabrizio M, Giorgi C, Pata V. A new approach to equations with memory. Arch Rati Mech Anal, 2010, 198:189-232
[16] Sun C Y, Cao D M. Non-autonomous wave dynamics with memory-asymptotic regularity and uniform attractor. Discrete Continuous Dyn Syst Ser B, 2008, 9:743-761
[17] Zhong C K, Yang M H, Sun C Y. The existence of global attractors for the norm-to-weak continuous semigroup and application to the nonlinear reaction-diffusion equations. J Diff Equ, 2006, 223(2):367-399
[18] Sun C Y, Cao D M, Duan J Q. Non-autonomous dynamics of wave equations with nonlinear damping and critical nonlinearity. Nonlinear Anal, 2006, 19:2645-2665
[19] Khanmamedov A Kh. Global attractors for wave equations with nonlinear interior damping and critical exponents. J Diff Equ, 2006, 230:702-719
[20] Chueshov I, Lasiecka I. Von Karman Evolution Equations:Well-Posedness and Long-Time Dynamics. New York:Springer, 2010
[21] Kang J R. Global attractors for an extensible beam equation with localized nonlinear dmping and linear memory. Math Meth Appl Sci, 2011, 34:1430-1439 |