Bifurcation of Solutions of Abstract Kinetic Equation.
Abstract:
The present paper is dedicated for basic aspects of theory of branching of solutions of nonlinear operator equations of special kind (applying in physical kinetics). Iodification of Lyapunov-Schmidt construction, which uses mathematical apparatus of infinite-dimensional projectors, is carried out. The properties of evolution operator for solutions of above-mentioned equations are considered. The properties of bifurcation equations for ones are investigated.
Publication language:russian
Research direction:
Mathematical problems and theory of numerical methods
