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Rotenberg模型中一类迁移方程解的稳定性

Stability of a Transport Equation Solution in Rotenberg Model
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摘要 本文在Lp(1≤p<+∞)空间上,研究了种群细胞增生中一类具积分边界条件的Rotenberg模型,讨论了这类模型相应的迁移算子的谱,得到了这类迁移方程解的渐近稳定性等结果。 The objective of this paper is to research Rotenberg moder of a proliferating cell population with integral boundary conditions in Lp space(1≤p<+∞).It is discussed the spectrum of corresponding transport operators for this moder.It is obtained that asymptotic stability of this transport equation solution.
作者 王胜华 梁珊
机构地区 上饶师范学院 南昌大学数学系
出处 《上饶师范学院学报》 2012年第6期1-4,共4页 Journal of Shangrao Normal University
基金 江西省自然科学基金资助课题(2010GZS0185)
关键词 Rotenberg模型 迁移方程 积分边界条件 稳定性 Rotenberg's model transport equation transport operators integral boundaty conditions stalbbity
分类号 O177.2 [理学—基础数学]
  • 相关文献

参考文献16

  • 1M.Rotenberg. Theory of distributed quiesoent state in the cell cycle[J].Journal of Theoretical Biology,1982.495-509.
  • 2王胜华,梁珊.Rotenberg模型中一类迁移算子的谱[J].上饶师范学院学报,2012,32(3):1-6. 被引量：1
  • 3Latrach K,Mokhtar-Kharroubi M. On an unbounded linear operator arising in the theory of growing cell popultion[J].Journal of Mathematical Analysis and Applications,1997.273-294.
  • 4Boulanouar M. A mathematical study for a Rotenberg mobel[J].Journal of Mathematical Analysis and Applications,2002.371-394.
  • 5A.Jeribi. Time asymptotic behaviour for unbounded linear operator arising in growing cell populations[J].Nonlinear Analysis:Real World Applications,2003.667-688.
  • 6A.Jeribi,H.Megdiche,N.Moalla. On a transport operator arising in growing eell populations Ⅱ.Cauchy problem[J].Mathematical Methods in the Applied Sciences,2005.127-145.
  • 7Abdelkader Dehici,A.,Jeribi,K.Latrach. Spectral analysis of a transport operator arisin in growing cell populations[J].Acta Applicandae Mathematicae,2006.37-62.
  • 8M Boulanouar. Transport Equation in Cell Population Dynamics (Ⅰ)[J].Elestronic Journal of Differential Equations,2010.1-20.
  • 9M Boulanouar. Transport Equation in Cell Population Dynamics(Ⅱ)[J].Electronic Journal of Differential Equations,2010.1-20.
  • 10Khalid Latracha,Harem Megdiche. Time Asymptotic Behaviour For Roterberg' s Model with maxwell Boundary Conditions[J].Diserete andcontinous dynamical systerms,2011,(01):305-321.

二级参考文献28

  • 1王胜华,程国飞.种群细胞中一类具非光滑边界条件的L-R模型[J].应用泛函分析学报,2013,15(2):151-156. 被引量：4
  • 2Jeribi A, Megdiche H Moalla N. On a transport arising in growing cell populations II Cauchy problem. Math Methods in the Applied Sciences, 2005, 28:127-145.
  • 3Latrach K, Mokhtar-Kharroubi M. On an unbounded linear operator arising in the theory of growing cell population. J Math Anal Appl, 1997, 211:273-294.
  • 4Boulanouar M. A mathematical study for a Rotenberg model. Math Anal Appl, 2002, 265:371-394.
  • 5Jeribi A. Time asymptotic behaviour for unbounded linear operator arising in growing cell populations. Nonlinear Analysis: Real World Appl, 2003, 4:667-688.
  • 6Lods B, Mokhtar-Kharroubi M. On the theory of a growing cell population with zero minimum cycle length. J Math Anal Appl, 2002, 266:70-99.
  • 7Mokhtar-Kharroubi M. Time asymptotic behaviour and compactness in nertron transport theory. Europ J Mech B Fluid, 1992, 11:39-68.
  • 8M.Rotenberg.Theory of distributed quiescent state in the cell cycle[J].J.Theor.Biol.,1982,96:495-509.
  • 9Latrach K,Mokhtar-KharroubiM.On an unbounded linear operator arising in the theory ofgrowingcell popultion[J].JMath Anal Appl,1997,211:273-294.
  • 10BoulanouarM.A mathematical study for a Rotenberg mobel[J].Math Anal Appl,2002,265:371-394.

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上饶师范学院学报
2012年 第6期

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