P. Billingsley, Convergence of Probability Measures, Series in Probability and Mathematical Statistics, 1968.
DOI : 10.1002/9780470316962

L. Boccardo and T. Gallouët, Nonlinear elliptic and parabolic equations involving measure data, J. Funct. Anal, vol.87, pp.241-273, 1989.
DOI : 10.1016/0022-1236(89)90005-0

URL : http://doi.org/10.1016/0022-1236(89)90005-0

L. Boccardo, T. Gallouët, and J. L. Vazquez, Nonlinear Elliptic Equations in RN without Growth Restrictions on the Data, Journal of Differential Equations, vol.105, issue.2, pp.334-363, 1993.
DOI : 10.1006/jdeq.1993.1092

O. Boxma, D. Perry, W. Stadje, and S. Zacks, A Markovian growth-collapse model, Advances in Applied Probability, vol.19, issue.01, pp.221-243, 2006.
DOI : 10.1239/jap/1005091042

URL : https://pure.tue.nl/ws/files/2110628/597674.pdf

S. Champier, T. Gallouët, and R. Herbin, Convergence of an upstream finite volume scheme for a nonlinear hyperbolic equation on a triangular mesh, Numerische Mathematik, vol.14, issue.10, pp.139-157, 1993.
DOI : 10.1007/BF01385691

C. Cocozza-thivent, R. Eymard, S. Mercier, and M. Roussignol, Characterization of the marginal distributions of Markov processes used in dynamic reliability, Journal of Applied Mathematics and Stochastic Analysis, vol.4, issue.2, pp.1-18, 2006.
DOI : 10.1214/aop/1176996130

C. Cocozza-thivent, R. Eymard, and S. Mercier, A finite-volume scheme for dynamic reliability models, IMA Journal of Numerical Analysis, vol.26, issue.3, pp.446-471, 2006.
DOI : 10.1093/imanum/drl001

URL : https://hal.archives-ouvertes.fr/hal-00693102

Y. Coudì-ere, T. Gallouët, and R. Herbin, error estimates for finite volume solutions of convection diffusion equations, ESAIM: Mathematical Modelling and Numerical Analysis, vol.35, issue.4, pp.767-778, 1998.
DOI : 10.1051/m2an:2001135

M. H. Davis, Markov Models and Optimization, 1993.
DOI : 10.1007/978-1-4899-4483-2

J. Droniou, T. Gallouët, and R. Herbin, A Finite Volume Scheme for a Noncoercive Elliptic Equation with Measure Data, SIAM Journal on Numerical Analysis, vol.41, issue.6, pp.1997-2031, 2003.
DOI : 10.1137/S0036142902405205

URL : https://hal.archives-ouvertes.fr/hal-00003440

F. Dufour, Y. Dutuit, H. Zhang, and F. , Fiabilité dynamique et processus déterministes par morceaux, Proc. of ?µ 15, 2006.

R. Eymard, T. Gallouët, and R. Herbin, Existence and uniqueness of the entropy solution to a nonlinear hyperbolic equation, Chinese Ann, Math., Series B, vol.16, issue.1, pp.1-14, 1995.

R. Eymard and S. Mercier, Comparison of numerical methods for the assessment of production availability of a hybrid system, Reliability Engineering & System Safety, vol.93, issue.1, pp.169-178, 2006.
DOI : 10.1016/j.ress.2006.12.001

URL : https://hal.archives-ouvertes.fr/hal-00693079

T. Gallouët and R. Herbin, Finite volume approximation of elliptic problems with irregular data, in: Finite Volume for Complex Analysis, 1999.

M. Jacobsen, Point Process Theory and Applications: Marked Point and Piecewise Deterministic Processes, Series: Probability and Its Applications, 2006.

P. E. Labeau and Y. Dutuit, Fiabilité dynamique et disponibilité de production: un cas illustratif, Proc. of ?µ 14, pp.431-436, 2004.