Positive Solutions for a Nonlinear Three-point Boundary-value Problem

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dc.contributor.authorMa, Ruyun
dc.date.accessioned2019-11-22T13:45:05Z
dc.date.available2019-11-22T13:45:05Z
dc.date.issued1999-09-15
dc.description.abstractWe study the existence of positive solutions to the boundary-value problem u'' + α(t)ƒ(u) = 0, t ∈ (0,1) u(0) = 0, αu(ƞ) = u(1), where 0 < ƞ < 1 and 0 < α < 1/ƞ. We show the existence of at least one positive solution if f is either superlinear or sublinear by applying the fixed point theorem in cones.
dc.description.departmentMathematics
dc.formatText
dc.format.extent8 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationMa, R. (1999). Positive solutions for a nonlinear three-point boundary-value problem. <i>Electronic Journal of Differential Equations, 1999</i>(34), pp. 1-8.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/8867
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, 1999, San Marcos, Texas: Southwest Texas State University and University of North Texas.
dc.subjectSecond-order multi-point BVP
dc.subjectPositive solution
dc.subjectCone
dc.subjectFixed point
dc.titlePositive Solutions for a Nonlinear Three-point Boundary-value Problemen_US
dc.typeArticle

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