This paper deals with the existence of denumberable positive solutions to boundary value problems of delay differential equations with denumberable singularities on infinite intervals. By the fixed-point index theory and a new fixed-point theorem in cones, the existence of denumberable positive solutions is obtained under some suitable growth conditions imposed on the nonlinear term.
Yuming Wei, Yanqiu Tang (School of Mathematical Science, Guangxi Normal University, Guilin 541004, Guangxi) Weigao Ge (Dept. of Math., Beijing Institute of Technology, Beijing 100081)
