On a holomorphic solution of a singular partial differential equation with many simple poles
On entire solutions of elliptic equations with a singular nonlinearity
On nonlinear superposition, III.
On the existence of global holomorphic solutions of differential equations with complex parameters
On the radial solutions of a degenerate quasilinear elliptic equation in
On the validity of Huygens' principle for second order partial differential equations with four independent variables. Part I : derivation of necessary conditions
On the Weak Solutions of the McKendrick Equation: Existence of Demography Cycles
We develop the qualitative theory of the solutions of the McKendrick partial differential equation of population dynamics. We calculate explicitly the weak solutions of the McKendrick equation and of the Lotka renewal integral equation with time and age dependent birth rate. Mortality modulus is considered age dependent. We show the existence of demography cycles. For a population with only one reproductive age class, independently of the stability of the weak solutions and after a transient time,...