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带衰退记忆的抽象发展方程解的渐近性 被引量：2

Asymptotic behavior of solutions for an abstract evolution equation with fading memory
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摘要 利用经典的Faedo-Gakerkin方法,讨论了带衰退记忆的抽象发展方程弱解的存在唯一性及其渐近性. The existence,uniqueness and asymptotic behavior of weak solutions for an abstract evolution equation with fading memory are discussed by applying classical Faedo-Gakerlin method.
作者 汪璇 钟承奎 马巧珍
机构地区 西北师范大学数学与信息科学学院 兰州大学数学与统计学院
出处 《西北师范大学学报（自然科学版）》 CAS 北大核心 2009年第4期6-10,共5页 Journal of Northwest Normal University(Natural Science)
基金 国家自然科学基金资助项目(10771089) 甘肃省自然科学基金资助项目(3ZS061-A25-016)
关键词 抽象发展方程 记忆核 渐近性 abstract evolution equation memory kernel asymptotic property
分类号 O175.27 [理学—基础数学] O175.29 [理学—基础数学]
  • 相关文献

参考文献9

  • 1COLEMAN B D, NOLL W. Foundations of linear viscoelasticity[J]. RevModPhys, 1961, 33: 239-249.
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  • 6GIORGI C, RIVERA J E M, PATA V. Global attractors for a semilinear hyperbolic equations in viscoelasticity[J]. J Math Anal Appl, 2001, 260: 83-99.
  • 7PATA V, ZUCCHI A. Attractors for a damped hyperbolic equation with linear memory [J ]. Adv Math SciAppl, 2001, 11(2): 505-529.
  • 8MA Qiao-zhen, ZHONG Cheng-kui. Existence of strong global attractors for hyperbolic equation with linear memory [J ]. Applied Mathematics and Computation, 2004, 157: 745-758.
  • 9钟承奎,牛明飞.关于无穷维耗散非线性动力系统全局吸引子的存在性[J].兰州大学学报（自然科学版）,2003,39(2):1-5. 被引量：6

二级参考文献5

  • 1Rbinson James C. Infinite-Dimensional Dynamical Systems: An Introduction to Dissipative Parabolic PDEs and the Theory of Global Attractors [M].Cambridge :Cambridge University Press ,2001.
  • 2Sell George R,You Yuncheng. Dynamics of Evolutionary Equations [M]. New York :Springer, 2002.
  • 3Temam R. Infinite-Dimensional Dynamical Systems in Mechanics and Physics [M]. New York: Springer,1997.
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  • 5Ma Q F,Wang Sh H,Zhong C K. Necessary and sufficient conditions for the existence of global attractors for semigroups and applications[J]. Indiana Uni Math J,2002,51(6):1542-1558.

共引文献6

同被引文献14

  • 1Giorgi C, Rivera J E M, Pata V. Global attractors for a semilinear hyperbolic equations in viscoelasticity[J]. J. Math. Anal. Appl., 2001,260:83-99.
  • 2Teman R. Infinite Dimensional Dynamical System in Mechanics and Physics[M]. 2nd ed. New York: Spring- Verlag, 1997.
  • 3Pata V, Zucchi A. Attractors for a damped hyperbolic equation with linear memory[J]. Adv. Math. Sci. Appl., 2001:11-505-529.
  • 4Ma Qingfeng, Wang Shouhong, Zhong Chengkui. Necessary and sufficient conditions for the existence of global attractor for semigroup and application[J]. Indiana University Mathematics Journal, 2002,51:1541- 1559.
  • 5Ma Qiaozhen, Zhong Chengkui. Existence of strong global attractors for hyperbolic equation with linear memory[J]. Applied Mathematicsand Computation, 2004,157:745-758.
  • 6Ghidaglia J M, Temam R. Attractors for damped nonlinear hyperbolic equations[J]. J. math. pures Appl., 1987,66:273-319.
  • 7熊明.一类二阶奇异边值问题的正解[J].西南大学学报（自然科学版）,2007,29(8):43-48. 被引量：9
  • 8Claudio Giorgi,Jaime E. Mu?oz Rivera,Vittorino Pata.Global Attractors for a Semilinear Hyperbolic Equation in Viscoelasticity[J].Journal of Mathematical Analysis and Applications.2001(1)
  • 9Qingfeng Ma,Shouhong Wang,Chengkui Zhong.Necessary and sufficient conditions for the existence of global attractors for semigroups and applications[].Indiana University Mathematics Journal.2002
  • 10Vittorino Pata,Adele Zucchi.Attractors for a damped hyperbolic equation with linear memory[].Advances in Mathematical Sciences and Applications.2001

引证文献2

二级引证文献6

西北师范大学学报（自然科学版）
2009年 第4期

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