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ArticleOriginal scientific text

Title

A multiplicity result for a system of real integral equations by use of the Nielsen number

Authors 1, 2, 3

Affiliations

  1. Institute of Mathematics, University of Gdańsk, Wita Stwosza 57, 80-952 Gdańsk, Poland
  2. Faculty of Technical Physics and Applied Mathematics, Technical University of Gdańsk, G. Narutowicza 11/12, 80-952 Gdańsk Poland
  3. Faculty of Mathematics & Computer Science, A. Mickiewicz University of Poznań, Matejki 48/49, 60-769 Poznań, Poland

Abstract

We prove an existence and multiplicity result for solutions of a nonlinear Urysohn type equation (2.14) by use of the Nielsen and degree theory in an annulus in the function space.

Bibliography

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  2. [BKM2] A. Yu. Borisovich, Z. Kucharski and W. Marzantowicz, Relative Nielsen number and a lower estimate of the number of components of an algebraic set, in: Global and Stochastic Analysis. New Developments in Global Analysis series, Voronezh University Press, 1995, 3-14.
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Banach Center Publications
1999/49/1
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Pages:
9-18
Main language of publication
English
Published
1999
Exact and natural sciences