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Topological essentiality and differential inclusions

Published online by Cambridge University Press:  17 April 2009

Lech Gorniewicz  and
Miroslaw Slosarski
Lech Gorniewicz
Affiliation:
Institute of Mathematics University of NicholasCopernicus 87-100 Torun, Poland
Miroslaw Slosarski
Affiliation:
Institute of Mathematics University of NicholasCopernicus 87-100 Torun, Poland
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Abstract

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In the present paper a concept of topological essentiality for a large class of multivalued mappings is introduced. This concept is strictly related to the Leray-Schauder topological degree theory but is simpler and also more general. Applying the above concept to boundary value problems for differential inclusion with both upper semi-continuous and lower semi-continuous right hand sides, several new results are obtained.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 45 , Issue 2 , April 1992 , pp. 177 - 193
Copyright
Copyright © Australian Mathematical Society 1992

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