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

Tellini, Andrea
2020
  • Controlled Vocabulary...

Periodico
Rendiconti dell’Istituto di matematica dell’Università di Trieste: an International Journal of Mathematics
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.
DOI
10.13137/2464-8728/30916
Archivio
http://hdl.handle.net/10077/30916
Diritti
metadata only access
Soggetti
  • Superlinear indefinit...

  • numerical global bifu...

  • high multiplicity of ...

  • stability

  • Neumann boundary cond...

Visualizzazioni
11
Data di acquisizione
Apr 19, 2024
Vedi dettagli
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