Existence of positive solutions for systems of nonlinear Sturm-Liouville differential equations with weight functions

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dc.contributor.authorHe, Jinfang
dc.contributor.authorYang, Lu
dc.date.accessioned2021-12-03T20:13:07Z
dc.date.available2021-12-03T20:13:07Z
dc.date.issued2019-09-26
dc.description.abstractThis article concerns the existence of component-wise positive solutions for systems of nonlinear Sturm-Liouville differential equations with weight functions, in which one nonlinear term is uniformly superlinear or uniformly sublinear, and the other is locally uniformly superlinear or locally uniformly sublinear. As applications, we consider the existence of global component-wise positive solutions to the corresponding nonlinear eigenvalue problem with respect to positive parameters. The discussion is based on the product formula of fixed point index on product cone, the fixed point index theory in cones and Leray-Schauder degree theory.
dc.description.departmentMathematics
dc.formatText
dc.format.extent24 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationHe, J., & Yang, L. (2019). Existence of positive solutions for systems of nonlinear Sturm-Liouville differential equations with weight functions. <i>Electronic Journal of Differential Equations, 2019</i>(111), pp. 1-24.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/15005
dc.language.isoen
dc.publisherTexas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.holderThis work is licensed under a Creative Commons Attribution 4.0 International License.
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.subjectPositive solution
dc.subjectNonlinear eigenvalue problem
dc.subjectFixed point
dc.subjectStrict lower and upper solutions
dc.subjectLeray-Schauder degree
dc.titleExistence of positive solutions for systems of nonlinear Sturm-Liouville differential equations with weight functions
dc.typeArticle

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