Existence and uniqueness of the p-generalized modified error function

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dc.contributor.authorBollati, Julieta
dc.contributor.authorSemitiel, Jose A.
dc.contributor.authorNatale, Maria F.
dc.contributor.authorTarzia, Domingo A.
dc.date.accessioned2021-09-22T17:47:29Z
dc.date.available2021-09-22T17:47:29Z
dc.date.issued2020-04-18
dc.description.abstractIn this article, we define a p-generalized modified error function as the solution to a non-linear ordinary differential equation of second order, with a Robin type boundary condition at x = 0. We prove existence and uniqueness of a non-negative C∞ solution by using a fixed point argument. We show that the p-generalized modified error function converges to the p-Dirichlet boundary condition. In both problems, for p = 1, the generalized modified error function and the modified error function are recovered. In addition, we analyze the existence and uniqueness of solution to a problem with a Neumann boundary condition.
dc.description.departmentMathematics
dc.formatText
dc.format.extent11 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationBollati, J., Semitiel, J. A., Natale, M. F., & Tarzia, D. A. (2020). Existence and uniqueness of the p-generalized modified error function. <i>Electronic Journal of Differential Equations, 2020</i>(35), pp. 1-11.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/14539
dc.language.isoen
dc.publisherTexas 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, 2020, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectModified error function
dc.subjectGeneralized modified error function
dc.subjectNonlinear ordinary differential equation
dc.subjectBanach fixed point theorem
dc.subjectStefan problem
dc.titleExistence and uniqueness of the p-generalized modified error function
dc.typeArticle

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