Uniform attractors for non-autonomous suspension bridge-type equations
1 College of Mathematics and Statistics, Northwest Normal University, Lanzhou, 730070, P.R. China
2 School of Mathematics and Statistics, Lanzhou University, Lanzhou, 730000, P.R. China
Boundary Value Problems 2014, 2014:75 doi:10.1186/1687-2770-2014-75Published: 28 March 2014
We discuss the long-time dynamical behavior of the non-autonomous suspension bridge-type equation, where the nonlinearity is translation compact and the time-dependent external forces only satisfy Condition () instead of being translation compact. By applying some new results and the energy estimate technique, the existence of uniform attractors is obtained. The result improves and extends some known results.
MSC: 34Q35, 35B40, 35B41.