Note on the Uniqueness of a Global Positive Solution to the Second Painleve Equation

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dc.contributor.authorGuedda, Mohammed
dc.date.accessioned2020-06-10T22:09:43Z
dc.date.available2020-06-10T22:09:43Z
dc.date.issued2001-07-09
dc.description.abstractThe purpose of this note is to study the uniqueness of solutions to u'' - u3 + (t - c)u = 0, for t ∈ (0, + ∞) with Neumann condition at 0. Assuming a certain condition at infinity, Helfer and Weissler [6] have found a unique solution. We show that, without any assumptions at infinity, this problem has exactly one global positive solution. Moreover, the solution behaves like as √t as t approaches infinity.
dc.description.departmentMathematics
dc.formatText
dc.format.extent4 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationGuedda, M. (2001). Note on the uniqueness of a global positive solution to the second Painleve equation. <i>Electronic Journal of Differential Equations, 2001</i>(49), pp. 1-4.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/11606
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, 2001, San Marcos, Texas: Southwest Texas State University and University of North Texas.
dc.subjectSecond Painleve equation
dc.subjectNeumann condition
dc.subjectGlobal existence
dc.titleNote on the Uniqueness of a Global Positive Solution to the Second Painleve Equation
dc.typeArticle

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