[1] Lebowitz J L, Rubinow S I. A theory for the age and generation time distribution of a microbial population. J Math Biol, 1974, 1: 17--36
[2] Webb G. A mode of proliferating cell populations with inherited cycle length. J Math Biol, 1986, 23: 269--282
[3] Webb G. Dynamics of structured populations with inherited properties. Comput Math Appl, 1987, 13: 749--757
[4] Latrach 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
[5] Boulanouar M. A mathematical study in the theory of dynamic population. J Math Anal Appl, 2001, 255: 230--259
[6] Boulanouar M. A mathematical study for a Rotenberg model. J Math Anal Appl, 2002, 265: 371--394
[7] Boulanouar M. A model of proliferating cell populations with infinite cell cycle length: asymptotic behavior. Acta Appl Math DOI 19. 1007/S 10440-009-9496-3
[8] Dodds P, Fremlin J. Compact operator in Banach Lattices. Israel J Math, 1979, 34: 287--320
[9] Kato T. Perturbation Theory for Linear Oprators. New York, Berlin: Springer-Verlag, 1966
[10] Kaper H G, Lekkerkerkerker C G, Hejtmanek J. Spectral Methods in Linear Transport Theory. Basel: Birkhauder, 1982
[11] Vidav I. Existence and uniqueness of nonnegative eigenfunctions of the Boltzmann operator. J Math Anal Appl, 1968, {\bf 22}: 144--155
[12] Dunford N, Schwartz J T. Linear Operators: Part I. New York: Interscience, 1958
[13] Anselone A P, Palmer J M. Spectral analysis of collectively compact, strongly convergent operator seqences. Pacific J Math, 1968, 25: 423--431 |