参考文献/References:
[1] WOINOWSKY-KRIEGER S.The effect of an axial force on the vibration of hinged bars [J].Journal of Applied Mechanics,1950,17(1):35-36.
[2] 苏小虎,姜金平.梁方程时间依赖全局吸引子的存在性 [J].应用数学和力学,2020,41(2):195-203.
[3] DI PLAN F,DUANE G S,TEMAM R.Time-dependent attractor for the oscillon equation [J].Discrete and Conti-nuous Dynamical Systems,2011,29(1):141-167.
[4] CONTI M,PATA V,TEMAM R.Attractors for processes on time-dependent spaces:applications to wave equations [J].Journal of Differential Equations,2013,255(6):1254-1277.
[5] CONTI M,PATA V.Asymptotic structure of the attractor for processes on time-dependent spaces [J].Nonlinear Analysis:Real World Applications,2014,19:1-10.
[6] 刘亭亭,马巧珍.Plate方程时间依赖全局吸引子的存在性 [J].华东师范大学学报(自然科学版),2016(2):35-44.
[7] 胡弟弟,汪璇.记忆型无阻尼抽象发展方程的强时间依赖全局吸引子 [J].数学物理学报,2019,39(1):81-94.
[8] 吴晓霞,马巧珍.带有线性记忆的波方程在Rn上的时间依赖吸引子 [J].应用数学,2021,34(1):73-85.
[9] 刘世芳,马巧珍.具有历史记忆的阻尼吊桥方程强全局吸引子的存在性 [J].数学物理学报,2017,37(4):684-697.
[10] 刘亭亭,马巧珍.非自治Plate方程时间依赖强拉回吸引子的存在性 [J].数学年刊A辑(中文版),2017,38(2):125-144.
[11] MA Qiaozhen,WANG Jing,LIU Tingting.Time-dependent attractor of wave equations with non-linear damping and linear memory [J].Open Mathematics,2019,17(1):89-103.
[12] MA Qiaozhen,WANG Jing,LIU Tingting.Time-dependent asymptotic behavior of the solution for wave equations with linear memory [J].Computers & Mathematics with Applications,2018,76(6):1372-1387.
[13] LIU Tingting,MA Qiaozhen.Time-dependent asymptotic behavior of the solution for plate equations with linear memory [J].Discrete and Continuous Dynamical Systems: Series B,2018,23(10):4595-4616.
[14] 张盈,刘强强,马巧珍.带记忆的基尔霍夫型梁方程的全局吸引子 [J].山东大学学报(理学版),2022,57(4):66-75.
[15] 王彩霞,刘强强,马巧珍.具有线性记忆和线性阻尼的Kirchhoff梁方程的指数吸引子 [J].吉林大学学报(理学版),2022,60(1):1-14.
[16] 刘强强.具有线性记忆的基尔霍夫型梁方程解的渐近性 [D].兰州:西北师范大学,2020.
[17] 穆苗苗,马巧珍.Plate方程时间依赖吸引子的渐近结构及正则性 [J].吉林大学学报(理学版),2018,56(5):1079-1083.
[18] 汪璇,韩英,胡弟弟.记忆型抽象发展方程的时间依赖全局吸引子 [J].吉林大学学报(理学版),2018,56(4):769-778.
[19] 王晓萍.带和不带线性记忆的非经典反应扩散方程解的时间依赖渐近性 [D].兰州:西北师范大学,2016.
[20] WANG Xuan,DUAN Fenxia,HU Didi.Attractors for a class of abstract evolution equations with fading memory [J].Mathematical Problems in Engineering,2017,2017:1410408.
[21] PATA V,ZUCCHI A.Attractors for a damped hyperbolic equation with linear memory [J].Advances in Mathematical Sciences & Applications,2001,11(2):505-529.
[22] BORINI S,PATA V.Uniform attractors for a strongly damped wave equations with linear memory [J].Asymptotic Analysis,1999,20(3/4):263-277.
[23] 汪旋,段奋霞.记忆型抽象发展方程全局吸引子的存在性 [J].兰州大学学报(自然科学版),2016,52(4):523-529.