Bifurcation curves for singular and nonsingular problems with nonlinear boundary conditions
dc.contributor.author | Goddard, Jerome | |
dc.contributor.author | Morris, Quinn | |
dc.contributor.author | Shivaji, Ratnasingham | |
dc.contributor.author | Son, Byungjae | |
dc.date.accessioned | 2022-01-03T16:04:25Z | |
dc.date.available | 2022-01-03T16:04:25Z | |
dc.date.issued | 2018-01-18 | |
dc.description.abstract | We 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.department | Mathematics | |
dc.format | Text | |
dc.format.extent | 12 pages | |
dc.format.medium | 1 file (.pdf) | |
dc.identifier.citation | Goddard, J., Morris, Q., Shivaji, R., & Son, B. (2018). Bifurcation curves for singular and nonsingular problems with nonlinear boundary conditions. Electronic Journal of Differential Equations, 2018(26), pp. 1-12. | |
dc.identifier.issn | 1072-6691 | |
dc.identifier.uri | https://hdl.handle.net/10877/15082 | |
dc.language.iso | en | |
dc.publisher | Texas State University, Department of Mathematics | |
dc.rights | Attribution 4.0 International | |
dc.rights.holder | This work is licensed under a Creative Commons Attribution 4.0 International License. | |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
dc.source | Electronic Journal of Differential Equations, 2018, San Marcos, Texas: Texas State University and University of North Texas. | |
dc.subject | Quadrature method | |
dc.subject | Bifurcation curve | |
dc.subject | Existence | |
dc.subject | Singular problems | |
dc.subject | Nonlinear boundary condition | |
dc.title | Bifurcation curves for singular and nonsingular problems with nonlinear boundary conditions | |
dc.type | Article |