Classifications and existence of positive solutions of higher order nonlinear iterative functional differential equations

摘要

Classification schemes for eventually positive solutions of a class of higher-order nonlinear iterative functional differential equations of the form (r(t)x~((m-1))(t))' + f(t,x(t), x(Δ(t,x(t)))) = 0 in the case when ∫~∞ ds/r(s) = ∞ are given in terms of their magnitudes, and necessary as well as sufficient conditions for the existence of these positive solutions are also provided.