Bifurcation from zero or infinity in Sturm-Liouville problems which are not linearizable (Q1276377)
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scientific article; zbMATH DE number 1246342
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Bifurcation from zero or infinity in Sturm-Liouville problems which are not linearizable |
scientific article; zbMATH DE number 1246342 |
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Bifurcation from zero or infinity in Sturm-Liouville problems which are not linearizable (English)
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2 August 1999
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Nonlinear Sturm-Liouville problems are considered. The existence of global continua of nontrivial solutions bifurcating from zero or infinity is proved. Under some conditions on the nonlinearity and by extending the approximation technique it is shown that the existence of global sets of solutions bifurcating from infinity is similar to those obtained by \textit{P. H. Rabinowitz} [J. Differ. Equations 14, 462-475 (1973; Zbl 0272.35017)].
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Sturm-Liouville theory
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bifurcation
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0.96172935
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0.9532391
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0.9306494
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0.9242068
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0.9241642
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0.91363984
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0.9113901
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