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Homotopy Index for Multivalued Flows on Sleek Sets

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Abstract

In the paper we construct a homotopy index on sleek sets for multivalued flows generated by differential inclusions using single-valued approximations. The index is described by behavior of a multivalued map (some tangency conditions) on a boundary of a given set. Several properties of the index are proved. Some results on existence of equilibria are also presented.

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Authors and Affiliations

  1. Faculty of Mathematics and Computer Science, Nicolaus Copernicus University, Chopina 12/18, 87-100, Toruń, Poland

    Grzegorz Gabor

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  1. Grzegorz Gabor
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Correspondence to Grzegorz Gabor.

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Mathematics Subject Classifications (2000)

Primary: 54H20; secondary: 34C25, 37B30.

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Gabor, G. Homotopy Index for Multivalued Flows on Sleek Sets. Set-Valued Anal 13, 125–149 (2005). https://doi.org/10.1007/s11228-004-4109-9

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  • DOI: https://doi.org/10.1007/s11228-004-4109-9

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