Cheng, XiyouFeng, Zhaosheng2021-11-052021-11-052019-04-19Cheng, X., & Feng, Z. (2019). Existence and multiplicity of positive solutions to systems of nonlinear Hammerstein integral equations. <i>Electronic Journal of Differential Equations, 2019</i>(52), pp. 1-16.1072-6691https://hdl.handle.net/10877/14785This article studies the existence and multiplicity of component-wise positive solutions for systems of nonlinear Hammerstein integral equations. In this system one nonlinear term is uniformly superlinear or uniformly sublinear, and the other is locally uniformly superlinear or locally uniformly sublinear. Discussions are undertaken by means of the fixed point index theory in cones. As applications, we show the existence and multiplicity of component-wise positive solutions for systems of second-order ordinary differential equations with the Dirichlet boundary value conditions and mixed boundary value conditions, respectively.Text16 pages1 file (.pdf)enAttribution 4.0 InternationalHammerstein integral equationPositive solutionFixed point indexProduct coneDirichlet boundary conditionArticle