Acta mathematica scientia,Series A ›› 2013, Vol. 33 ›› Issue (1): 71-77.

• Articles • Previous Articles     Next Articles

Spectral Problem of |Transport Equations with a Proliferating Cell Population

 WANG Sheng-Hua, CHENG Guo-Fei   

  1. Shangrao Normal University, Jiangxi Shangrao 334000; Department of Mathematics in Nanchang University, Nanchang 330047
  • Received:2011-05-16 Revised:2012-10-09 Online:2013-02-25 Published:2013-02-25
  • Supported by:

    江西省自然科学基金(2010GZS0185)资助

Abstract:

This paper is to research the transport equations of an age structured proliferating cell population with infinite cycle length in Lp-space (1≤p<+∞). It is discussed the spectral prblem of the transport operators, and it is to prove that the spectrum of the transport operators consists of  countable isolate eigenvalues with finite algebraic mutiplicities in half plane.

Key words: Cell populations, Cycle length of cells,  Transport equation, General boundary conditions, Spectral analysis

CLC Number: 

  • 47G20
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