Positive Solutions to a Second Order Multi-point Boundary-value Problem

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dc.contributor.authorCao, Daomin
dc.contributor.authorMa, Ruyun
dc.date.accessioned2019-12-11T18:36:20Z
dc.date.available2019-12-11T18:36:20Z
dc.date.issued2000-10-30
dc.description.abstractWe prove the existence of positive solutions to the boundary-value problem u" + λα(t) ƒ (u,u') = 0 u(0) = 0, u(1) = ∑m-2i=1 αiu(↋i), where α is a continuous function that may change sign on [0,1], ƒ is a continuous function with ƒ (0,0) > 0, and λ is a small positive constant. For finding solutions we use the Leray-Schauder fixed point theorem.
dc.description.departmentMathematics
dc.formatText
dc.format.extent8 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationCao, D., & Ma, R. (2000). Positive solutions to a second order multi-point boundary-value problem. <i>Electronic Journal of Differential Equations, 2000</i>(65), pp. 1-8.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/9055
dc.language.isoen
dc.publisherSouthwest Texas 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, 2000, San Marcos, Texas: Southwest Texas State University and University of North Texas.
dc.subjectMulti-point boundary value problem
dc.subjectPositive solution
dc.subjectFixed point theorem
dc.titlePositive Solutions to a Second Order Multi-point Boundary-value Problemen_US
dc.typeArticle

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