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Rotenberg模型中一类迁移算子的谱 被引量：1

Research of a Rotenberg Model in Proliferating Cell Population
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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,得到了这类迁移算子的谱在右半平面的某区域中仅由有限个具有限代数重数的离散本征值组成等结果。 The objective of this paper is to research Rotenberg moder of a proliferating cell population withintegral boundary condi- lions in Lv - space （ 1 ≤ p 〈 ＋ 00 ）. It is discussed the spectral analysis of corresponding transport operators for this moder. It is ob- tained that the specmxn of the transport operators only consisting of-nitely isolate eigenvalues with finite algebraic multiplicities in the trip Гs. of right half plan.
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3期1-6,共6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 迁移算子 积分边界条件 谱分析 本征值 Rotenberg＇s model transport operatols integral boundary conditions spectral analysis eigenvalue
分类号 O177.2 [理学—基础数学]
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参考文献21

  • 1M.Rotenberg.Theory of distributed quiescent state in the cell cycle[J].J.Theor.Biol.,1982,96:495-509.
  • 2Latrach K,Mokhtar-KharroubiM.On an unbounded linear operator arising in the theory ofgrowingcell popultion[J].JMath Anal Appl,1997,211:273-294.
  • 3BoulanouarM.A mathematical study for a Rotenberg mobel[J].Math Anal Appl,2002,265:371-394.
  • 4王胜华,吴军建.种群细胞增生中迁移方程的研究进展[J].上饶师范学院学报,2011,31(6):7-11. 被引量：5
  • 5A.Jeribi.Time asymptotic behaviour for unbounded linear operator arising in growing cell populations[J].Nonlinear Analysis:Real WorldApplications,2003,4:667-688.
  • 6A.Jeribi,H.Megdiche,N.Moalla.On a transport operator arising in growing cell populations II.Cauchy problem[J].MathematicalMethods in the Applied Sciences,2005,28:127-145.
  • 7Abdelkader Dehici,A.Jeribi and K.Latrach.Spectral analysis of a transport operator arisin in growingcell populations[J].Acta.Appl.Math.,2006,92:37-62.
  • 8M.Boulanouar,Transport Equation in Cell Population Dynamics(I)[J].Electronic Journal of DifferentialEquations,2010.144.1-20.
  • 9M.Boulanouar,Transport Equation in Cell Population Dynamics II[J].Electronic Journal of Di erentialEquations,2010.145.1-20.
  • 10Khalid Latracha and Hatem Megdiche.Time Asymptotic Behaviour For Rotenberg?s Modelwithmaxwell Boundary Conditions[J].Discrete andcontinous dynamical systems.2011.29(1).305-321.

二级参考文献18

  • 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.
  • 8Latrach K, Mokhtar-Kharroubi M. Spectral analysis and generation results for streaming operatorswith multiplying boundary conditions[J]. Kluwer Academic, 1999, 3: 273-296.
  • 9Latrach K. On the spectrum of the transport operator with abstract boundary conditions in slap geome- try[J]. Journal of Mathematical Analysis and Applications, 2000, 252: 1-17.
  • 10Boulanouar M. Generation theorem for the streaming operator in slab geometry[J]. Journal of Dynamical and Control Systems, 2003, 33-51.

共引文献45

同被引文献15

  • 1M.Rotenberg. Theory of distributed quiesoent state in the cell cycle[J].Journal of Theoretical Biology,1982.495-509.
  • 2Latrach 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.
  • 3Boulanouar M. A mathematical study for a Rotenberg mobel[J].Journal of Mathematical Analysis and Applications,2002.371-394.
  • 4A.Jeribi. Time asymptotic behaviour for unbounded linear operator arising in growing cell populations[J].Nonlinear Analysis:Real World Applications,2003.667-688.
  • 5A.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.
  • 6Abdelkader Dehici,A.,Jeribi,K.Latrach. Spectral analysis of a transport operator arisin in growing cell populations[J].Acta Applicandae Mathematicae,2006.37-62.
  • 7M Boulanouar. Transport Equation in Cell Population Dynamics (Ⅰ)[J].Elestronic Journal of Differential Equations,2010.1-20.
  • 8M Boulanouar. Transport Equation in Cell Population Dynamics(Ⅱ)[J].Electronic Journal of Differential Equations,2010.1-20.
  • 9Khalid Latracha,Harem Megdiche. Time Asymptotic Behaviour For Roterberg' s Model with maxwell Boundary Conditions[J].Diserete andcontinous dynamical systerms,2011,(01):305-321.
  • 10Jeribi A,Megdiche H,Moalla N. On a transport arising in growing cell populations Ⅱ Cauchy problem[J].Mathematical Methods in the Applied Sciences,2005.127-145.

引证文献1

上饶师范学院学报
2012年 第3期

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