Numerical global bifurcation diagrams for a superlinear indefinite problem with a parameter appearing in the domain

Tellini, Andrea
2020
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ISSN
0049-4704
DOI
e-ISSN
2464-8728
Abstract
We consider a superlinear indefinite problem with homogeneous Neumann boundary conditions and a parameter appearing in the domain of the di erential equation. Such a problem is an extension of the one studied in [33], in the sense that also negative values of the parameter are allowed. First, we show how to discretize the problem in a way that is suitable to perform numerical continuation methods and obtain the associated bifurcation diagrams. Then, we analyze the results of the simulations, also studying the stability of the solutions.
Journal
Subjects
Publisher
EUT Edizioni Università di Trieste
Source
Andrea Tellini, "Numerical global bifurcation diagrams for a superlinear indefinite problem with a parameter appearing in the domain" in: "Rendiconti dell’Istituto di matematica dell’Università di Trieste: an International Journal of Mathematics vol. 52 (2020)", EUT Edizioni Università di Trieste, Trieste, 2020
Languages
en
Rights
Attribution-NonCommercial-NoDerivatives 4.0 Internazionale
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