J. A. Cañizo, J. A. Carrillo, and S. Cuadrado, Measure Solutions for Some Models in Population Dynamics, Acta Applicandae Mathematicae, vol.48, issue.3, pp.141-156, 2013.
DOI : 10.1007/978-3-540-78273-5_1

J. A. Carrillo, R. M. Colombo, P. Gwiazda, and A. Ulikowska, Structured populations, cell growth and measure valued balance laws, Journal of Differential Equations, vol.252, issue.4, pp.3245-3277, 2012.
DOI : 10.1016/j.jde.2011.11.003

URL : https://doi.org/10.1016/j.jde.2011.11.003

O. Diekmann and P. Getto, Boundedness, global existence and continuous dependence for nonlinear dynamical systems describing physiologically structured populations, Journal of Differential Equations, vol.215, issue.2, pp.268-319, 2005.
DOI : 10.1016/j.jde.2004.10.025

URL : https://doi.org/10.1016/j.jde.2004.10.025

J. H. Evers, S. C. Hille, and A. Muntean, Mild solutions to a measure-valued mass evolution problem with flux boundary conditions, Journal of Differential Equations, vol.259, issue.3, pp.1068-1097, 2015.
DOI : 10.1016/j.jde.2015.02.037

W. Feller, On the Integral Equation of Renewal Theory, The Annals of Mathematical Statistics, vol.12, issue.3, pp.243-267, 1941.
DOI : 10.1214/aoms/1177731708

G. Greiner, A typical Perron-Frobenius theorem with applications to an age-dependent population equation, Infinite-dimensional systems (Retzhof, pp.86-100, 1983.
DOI : 10.1007/978-3-642-65970-6

P. Gwiazda, T. Lorenz, and A. Marciniak-czochra, A nonlinear structured population model: Lipschitz continuity of measure-valued solutions with respect to model ingredients, Journal of Differential Equations, vol.248, issue.11, pp.2703-2735, 2010.
DOI : 10.1016/j.jde.2010.02.010

P. Gwiazda and B. Perthame, Invariants and exponential rate of convergence to steady state in the renewal equation. Markov Process, pp.413-424, 2006.
URL : https://hal.archives-ouvertes.fr/hal-00113528

P. Gwiazda and E. Wiedemann, Generalized entropy method for the renewal equation with measure data, Communications in Mathematical Sciences, vol.15, issue.2, pp.577-586, 2017.
DOI : 10.4310/CMS.2017.v15.n2.a13

M. Iannelli, Mathematical Theory of Age-Structured Population Dynamics, Applied Math. Monographs, CNR, Giardini Editori e Stampatori, 1995.

M. Khaladi and O. Arino, Estimation of the Rate of Convergence of Semigroups to an Asynchronous Equilibrium, SemiGroup Forum, vol.61, issue.2, pp.209-223, 2000.
DOI : 10.1007/PL00006020

J. A. Metz and O. Diekmann, The dynamics of physiologically structured populations, Lecture Notes in Biomathematics, vol.68, 1986.
DOI : 10.1007/978-3-662-13159-6

S. P. Meyn and R. L. Tweedie, Markov chains and stochastic stability. Communications and Control Engineering Series, 1993.

K. Pakdaman, B. Perthame, and D. Salort, Dynamics of a structured neuron population, Nonlinearity, vol.23, issue.1, pp.55-75, 2010.
DOI : 10.1088/0951-7715/23/1/003

URL : https://hal.archives-ouvertes.fr/hal-00387413

K. Pakdaman, B. Perthame, and D. Salort, Relaxation and Self-Sustained Oscillations in the Time Elapsed Neuron Network Model, SIAM Journal on Applied Mathematics, vol.73, issue.3, pp.1260-1279, 2013.
DOI : 10.1137/110847962

B. Perthame, Transport equations in biology, Frontiers in Mathematics. Birkhäuser Verlag, 2007.

W. Rudin, Real and complex analysis, 1987.

F. R. Sharpe and A. J. Lotka, A Problem in Age-Distribution, pp.97-100, 1977.

H. R. Thieme, Mathematics in population biology Princeton Series in Theoretical and Computational Biology, 2003.

G. F. Webb, A semigroup proof of the Sharpe-Lotka theorem, Infinite-dimensional systems (Retzhof, pp.254-268, 1983.
DOI : 10.1016/0022-247X(75)90067-0

G. F. Webb, Theory of nonlinear age-dependent population dynamics, of Monographs and Textbooks in Pure and Applied Mathematics, 1985.