Positive solutions of semi-positone nonlinear operator equations in Banach spaces with lattice structure (Q395592)
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scientific article; zbMATH DE number 6251988
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Positive solutions of semi-positone nonlinear operator equations in Banach spaces with lattice structure |
scientific article; zbMATH DE number 6251988 |
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Positive solutions of semi-positone nonlinear operator equations in Banach spaces with lattice structure (English)
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29 January 2014
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The main result of this paper states the existence of a positive fixed point of an operator defined on a cone of a Banach space. In the proof a global bifurcation result is used. The existence of positive solutions of Sturm-Liouville boundary value problems is studied as application of the main result.
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fixed point equation
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semi-positone operator
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positive solution
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global bifurcation
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Leray-Schauder topological degree
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Sturm-Liouville boundary value problem
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