Bifurcation from infinity for an asymptotically linear problem on the half-line (Q548633)
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scientific article; zbMATH DE number 5915050
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Bifurcation from infinity for an asymptotically linear problem on the half-line |
scientific article; zbMATH DE number 5915050 |
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Bifurcation from infinity for an asymptotically linear problem on the half-line (English)
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29 June 2011
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The asymptotic bifurcation for a semilinear equation is investigated on the half-line. The bifurcation for the inverted problem is first analyzed. A sequence of compact approximations is defined and the bifurcation for the approximate problem is investigated in order to deduce some sequences for the solution sets. The existence of a continuum set of solutions bifurcating from infinity is obtained.
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asymptotic bifurcation
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topological degree
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unbounded domain
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saturable nonlinearity
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nonlinear waveguides
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