The Branching of Solutions of Kinetic Equations in Frechet Spaces.
Abstract:
In the present paper the phenomenon of branching of abstract steady-state kinetic equation in complete metrizable spaces is investigated. The conditions of origin of bifurcation of trivial solution are considered, mathematical apparatus of Lyapunov-Schmidt method for intrinsic domain of operator associated with quantum Boltzmann-like equation is modified.
Publication language:russian
Research direction:
Mathematical problems and theory of numerical methods