Iterative procedures for nonlinear second order boundary value problems

Summary Questions of the existence of positive solutions of second order nonlinear boundary value problems with separated boundary conditions are investigated. The nonlinearities are such that the linearization about the trivial solution does not exist or is trivial. The methods are thus applicable when shooting methods or ordinary bifurcation techniques cannot be applied. The conditions on the nonlinearity are quite modest and both super and sublinear problems can be included.This research was performed while the author was visiting at Emory University.Research supported by AFOSR 87-0140.