Bifurcation curves for singular and nonsingular problems with nonlinear boundary conditions
Date
2018-01-18
Authors
Goddard, Jerome
Morris, Quinn
Shivaji, Ratnasingham
Son, Byungjae
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
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.
Description
Keywords
Quadrature method, Bifurcation curve, Existence, Singular problems, Nonlinear boundary condition
Citation
Goddard, 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.
Rights
Attribution 4.0 International
Rights Holder
This work is licensed under a Creative Commons Attribution 4.0 International License.