... Methods of nonlinear functional analysis, integral equations, spectral theory based on index ofKronecker-Poincare, Morse-Conley index, power geometry and othermethods are employed. Proposedmethodology enables justification of the theorems on existence of bifurcation points and bifurcation sets in the nonstandard models. Formulated theorems are constructive. For a certain smoothness of the nonlinear operator, the asymptotic behaviour of the solutions is analysed in the neighbourhood of the branch points ...
Теги: asymptotics , bifurcation points , branch points , fredholm operator , iterations , regularization , uniformization
