Second order initial value problems of Lane-Emden type

Abstract This work discusses the existence of positive solutions to the initial value problem ( p y ′ ) ′ ± p q g ( y ) = 0 , t ∈ [ 0 , T ) , with y ( 0 ) = 1 and lim t → 0 + p ( t ) y ′ ( t ) = 0 . Our analysis is based on the Schauder–Tychonoff theorem.