Existence and multiplicity of positive solutions to systems of nonlinear Hammerstein integral equations

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dc.contributor.authorCheng, Xiyou
dc.contributor.authorFeng, Zhaosheng
dc.date.accessioned2021-11-05T17:32:28Z
dc.date.available2021-11-05T17:32:28Z
dc.date.issued2019-04-19
dc.description.abstractThis 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.
dc.description.departmentMathematics
dc.formatText
dc.format.extent16 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationCheng, 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.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/14785
dc.language.isoen
dc.publisherTexas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2019, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectHammerstein integral equation
dc.subjectPositive solution
dc.subjectFixed point index
dc.subjectProduct cone
dc.subjectDirichlet boundary condition
dc.titleExistence and multiplicity of positive solutions to systems of nonlinear Hammerstein integral equations
dc.typeArticle

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