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Quelques applications de la positivité en théorie du transport
Annales de la Faculté des sciences de Toulouse : Mathématiques, Serie 5, Volume 11 (1990) no. 1, pp. 75-99. 
@article{AFST_1990_5_11_1_75_0,
     author = {Mustapha Mokhtar-Kharroubi},
     title = {Quelques applications de la positivit\'e en th\'eorie du transport},
     journal = {Annales de la Facult\'e des sciences de Toulouse : Math\'ematiques},
     pages = {75--99},
     publisher = {Universit\'e Paul Sabatier},
     address = {Toulouse},
     volume = {5e s{\'e}rie, 11},
     number = {1},
     year = {1990},
     zbl = {0722.45009},
     mrnumber = {1191473},
     language = {fr},
     url = {https://afst.centre-mersenne.org/item/AFST_1990_5_11_1_75_0/}
}
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Mustapha Mokhtar-Kharroubi. Quelques applications de la positivité en théorie du transport. Annales de la Faculté des sciences de Toulouse : Mathématiques, Serie 5, Volume 11 (1990) no. 1, pp. 75-99. https://afst.centre-mersenne.org/item/AFST_1990_5_11_1_75_0/

[1] Marek (I.) .- Frobenius theory ofpositive operators : Comparison theorems and applications, Siam J. Appl. Math. Vol. 19, n°3 (1970) | MR | Zbl

[2] Beals (R.) .- An abstract treatment of some Forward-Backward problems of Transport and Scattering, J. Funct. Anal. 34 (1979) pp. 1-20 | MR | Zbl

[3] Kaper (H.G.) .- Boundary value problems of mixed type arising in the kinetic theory of gases, Siam J. Math. Anal. Vol. 10, n°1 (1979) pp. 161-179 | MR | Zbl

[4] Lions (J.L.) .- A linear problem arising in kinetic theory of gases, dans Proc. Internat. Sympos. Inst. Mat. Univ. Federal Rio de Janeiro (1977) pp. 284-346, North-Holland Math. Studies 30 Amsterdam (1978)

[5] Birkhoff (G.) .- Positivity and criticality. In the Proceedings of Symposia in Applied Mathematics. Nuclear reactor theory, Am. Math. Soc. (1961) | MR

[6] Greiner (G.), Voigt (J.) and Wolff (M.) .- On the spectral bound of the generator of semigroups of positive operators, J. Op. Theory 5 (1981) pp. 245-256 | MR | Zbl

[7] Voigt (J.) .- Positivity in time dependent linear transport theory, Acta Applicandæ Mathematicæ 2 (1984) pp. 311-331 | MR | Zbl

[8] Dautray (R.) et Lions (J.L.) .- Analyse mathématique et calcul numérique, Tome 3 Masson, Paris (1985) | MR | Zbl

[9] Mokhtar-Kharroubi (M.) .- The time asymptotic behaviour and the compactness in neutron transport theory, Publication du Laboratoire d'Analyse Numérique. Paris. R. 86020 (1986) | MR

[10] Kaper (H.G.), Lekkerkerker (C.G.) and Hejtmanek (J.) .- Spectral methods in linear transport theory, Birkhäuser Verlag, Basel (1982) | MR | Zbl

[11] Mokhtar-Kharroubi (M.) .- Some spectral properties of the neutron transport operator in bounded geometries, Transport theory and statistical Physics 16(7) (1987) pp. 935-958 | MR | Zbl

[12] Mokhtar-Kharroubi (M.) Thèse de 3ièmecycle, Univ. Paris 6 (1983)

[13] Mokhtar-Kharroubi (M.) .- Spectral theory of the neutron transport operator in bounded geometries, Transport theory and statistical Phisics 16(4-6) (1987) pp. 467-502 | MR | Zbl

[14] Mokhtar-Kharroubi (M.) .- Spectral theory of the multigroup neutron transport operator, Eur. J. Mech. B/Fluids 9, n° 2 (1990) pp. 197-222 | MR | Zbl

[15] J. Voigt .- Spectral properties of the neutron transport equation, J. Math. Anal. Appl. Vol. 106, n°1 (1985) | MR | Zbl

[16] Aliprantis (C.D.) and Burkinshaw (O.) .- Positive compact operators on Banach lattices, Math. Z 174 (1980) pp. 289-298 | MR | Zbl

[17] Vidav (I.) .- Existence and uniqueness of nonnegative eigenfunctions of the Boltzmann operator, J. Math. Anal. Appl. 22 (1968) pp. 144-155 | MR | Zbl

[18] Angelescu (N.) and Protopopescu (V.) .- On a problem in linear transport theory, Rev. Roumaine Phys. 22 (1977) pp. 1055-1061 | MR

[19] Victory (H.D.) .- Jr. On linear integral operators with nonnegative kernels, J. Math. Anal. Appl. Vol 89, n°2 (1982) pp. 420-441 | MR | Zbl

[20] Nagel (R.) et al .- One parameter semigroups of positive operators, Lecture Notes in Mathematics 1184, Springer Verlag (1986) | MR | Zbl