L-R Moder of a Proliferating Cell Population with Unsmooth Boundary Conditions

Abstract

The objective of this paper is to research L-R moder of an age structured and infinite cycle length proliferating cell population with unsmooth boundary conditions in L~p-space(1≤p+∞).It is discussed the spectral analysis of corresponding transport operators for this moder,and it is to obtain that the spectrum of the transport operators consists of countable isolate eigenvalues with finite algebraic mutiplicities in half plane.