Uniqueness of positive solutions for a class of ODE's with Dirichlet boundary conditions

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dc.contributor.authorAn, Yulian
dc.contributor.authorMa, Ruyun
dc.date.accessioned2021-05-17T16:50:46Z
dc.date.available2021-05-17T16:50:46Z
dc.date.issued2004-11-29
dc.description.abstractWe study the uniqueness of positive solutions of the boundary-value problem u'' + α(t)u' + ƒ(t, u) = 0, t ∈ (0, b) u(0) = 0 = 0, u(b) = 0, where 0 < b < ∞, α ∈ C1[0, ∞) and ƒ ∈ C1([0, ∞) x [0, ∞), [0, ∞)) satisfy suitable conditions. The proof of our main result is based on the shooting method and the Sturm comparison theorem.
dc.description.departmentMathematics
dc.formatText
dc.format.extent9 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationAn, Y., & Ma, R. (2004). Uniqueness of positive solutions for a class of ODE's with Dirichlet boundary conditions. <i>Electronic Journal of Differential Equations, 2004</i>(142), pp. 1-9.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/13563
dc.language.isoen
dc.publisherTexas State University-San Marcos, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2004, San Marcos, Texas: Texas State University-San Marcos and University of North Texas.
dc.subjectBoundary value problems
dc.subjectPositive solutions
dc.subjectUniqueness
dc.subjectShooting method
dc.subjectSturm comparison theorem
dc.titleUniqueness of positive solutions for a class of ODE's with Dirichlet boundary conditions
dc.typeArticle

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