Computation for the fixed point index and its applications (Q1021713)

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scientific article; zbMATH DE number 5563025
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Computation for the fixed point index and its applications
scientific article; zbMATH DE number 5563025

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    Computation for the fixed point index and its applications (English)
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    9 June 2009
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    The paper under review presents some new methods for the computation of the fixed point index for a cone mapping. The authors employ a positively homogeneous operator and/or functional to give some new method of computation for the fixed point index. They also apply their results to the existence of positive solutions for a fourth-order boundary value problem both in scale spaces and in abstract spaces.
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    cone
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    fixed point index
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    positively homogeneous operator
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    first eigenvalue
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