TY - JOUR AU - Cheng, Xiyou AU - Zhang, Zhitao PY - 2009/12/01 Y2 - 2024/03/29 TI - Existence of positive solutions to systems of nonlinear integral or differential equations JF - Topological Methods in Nonlinear Analysis JA - TMNA VL - 34 IS - 2 SE - DO - UR - https://apcz.umk.pl/TMNA/article/view/TMNA.2009.042 SP - 267 - 277 AB - In this paper, we are concerned with existence of positivesolutions for systems of nonlinear Hammerstein integral equations,in which one nonlinear term is superlinear and the other issublinear. The discussion is based on the product formula of fixedpoint index on product cone and fixed point index theory in cones.As applications, we consider existence of positive solutions forsystems of second-order ordinary differential equations withdifferent boundary conditions. ER -