Bifurcation curves for singular and nonsingular problems with nonlinear boundary conditions

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dc.contributor.authorGoddard, Jerome
dc.contributor.authorMorris, Quinn
dc.contributor.authorShivaji, Ratnasingham
dc.contributor.authorSon, Byungjae
dc.date.accessioned2022-01-03T16:04:25Z
dc.date.available2022-01-03T16:04:25Z
dc.date.issued2018-01-18
dc.description.abstractWe discuss a quadrature method for generating bifurcation curves of positive solutions to some autonomous boundary value problems with nonlinear boundary conditions. We consider various nonlinearities, including positone and semipositone problems in both singular and nonsingular cases. After analyzing the method in these cases, we provide an algorithm for the numerical generation of bifurcation curves and show its application to selected problems.
dc.description.departmentMathematics
dc.formatText
dc.format.extent12 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationGoddard, J., Morris, Q., Shivaji, R., & Son, B. (2018). Bifurcation curves for singular and nonsingular problems with nonlinear boundary conditions. <i>Electronic Journal of Differential Equations, 2018</i>(26), pp. 1-12.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/15082
dc.language.isoen
dc.publisherTexas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.holderThis work is licensed under a Creative Commons Attribution 4.0 International License.
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2018, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectQuadrature method
dc.subjectBifurcation curve
dc.subjectExistence
dc.subjectSingular problems
dc.subjectNonlinear boundary condition
dc.titleBifurcation curves for singular and nonsingular problems with nonlinear boundary conditions
dc.typeArticle

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