Bifurcation from simple eigenvalues for functional-differential equations (Q1368781)

The author studies the bifurcation points of complicated boundary value problems for functional-differential equations, and gives a very simple method to formulate sufficient conditions on the existence of bifurcation points by using Lyapunov-Schmidt reduction and an appropriate choice of the generalized Green operator. The techniques used in this paper are useful for the study of a class of functional differential equations.