Matrix semigroups and differential equations: Ergodism and asymptotic behaviour of solutions with or without impulses, a survey Original Research Article

General structure of a matrix nonstationary semigroup dominated by a nonnegative matrix semigroup and with cardinality of state spaces uniformly bounded. Absolute value, reduction, intervals of regularity and assimilated involved by Baireʹs theory, Taylor expansion of the reductions on these intervals and ergodism of their absolute values. Asymptotic behaviour of the solutions of the nonlinear impulsive ordinary differential equations of backward and forward Fokker-Planck type associated with such semigroups.