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

• Autorzy: Andrei Yu. Borisovich , Zygfryd Kucharski , Wacław Marzantowicz
• Języki publikacji: EN

Abstrakty

EN

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.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 1999
• Tom: 49
• Numer: 1
• Strony: 9-18

Daty

wydano

1999

Twórcy

autor

Andrei Yu. Borisovich

• Institute of Mathematics, University of Gdańsk, Wita Stwosza 57, 80-952 Gdańsk, Poland

autor

Zygfryd Kucharski

• Faculty of Technical Physics and Applied Mathematics, Technical University of Gdańsk, G. Narutowicza 11/12, 80-952 Gdańsk Poland

autor

Wacław Marzantowicz

• Faculty of Mathematics & Computer Science, A. Mickiewicz University of Poznań, Matejki 48/49, 60-769 Poznań, Poland

Bibliografia

• [BKM1] A. Yu. Borisovich, Z. Kucharski and W. Marzantowicz, Nielsen number and lower estimate for the number of solutions to a certain system of nonlinear integral equations, in: Applied Aspects of Global Analysis. New Developments in Global Analysis series, Voronezh University Press, 1994, 3-11.
• [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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