Bifurcation for families of nonlinear perturbations of closed Fredholm operators of index zero (Q1850177)
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scientific article; zbMATH DE number 1839890
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Bifurcation for families of nonlinear perturbations of closed Fredholm operators of index zero |
scientific article; zbMATH DE number 1839890 |
Statements
Bifurcation for families of nonlinear perturbations of closed Fredholm operators of index zero (English)
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9 December 2003
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A bifurcation (at infinity) theorem for some families of \(k\)-set contraction perturbations to closed Fredholm operators of index zero is proved in this paper by using a homotopy invariant (parity) and a degree theory adapted to the situation. An application is given to a class of nonlinear Sturm-Liouville problems on the half-line.
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Fredholm operator
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unbounded domain
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boundary value problem
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bifurcation at infinity
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parity
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\(k\)-set contraction
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homotopy
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degree theory
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nonlinear Sturm-Liouville problem
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0.91500294
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0.9127381
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0.91019124
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0.9051585
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0.8996291
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0.89747787
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0.8939474
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