A discretised nonlinear eigenvalue problem with many spurious branches of solutions (Q5938156)
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scientific article; zbMATH DE number 1621543
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A discretised nonlinear eigenvalue problem with many spurious branches of solutions |
scientific article; zbMATH DE number 1621543 |
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A discretised nonlinear eigenvalue problem with many spurious branches of solutions (English)
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23 September 2002
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The authors treat an example of a nonlinear eigenvalue problem in \(L^2(0,1)\) which can be solved explicitly. It is a single branch of non-trivial solutions. The special quality of the paper is the method of discretization for reducing the problem to a finite-dimensional one having many branches of non-trivial solutions. The authors investigate the convergence of these approximate solutions.
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bifurcation
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essential spectrum
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approximation
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nonlinear eigenvalue problem
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method of discretization
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