We prove the existence of solutions to Hammerstein integral inclusions of weakly completely continuous type. As a consequence we obtain an existence theorem for differential inclusions, with Sturm-Liouville boundary conditions,
Submitted April 17, 2008. Published August 25, 2008.
Math Subject Classifications: 47H04, 34A60, 34B24.
Key Words: Integral inclusion; differential inclusion; global bifurcation; selectors; Sturm-Liouville boundary conditions.
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| Stanislaw Domachowski |
Institute of Mathematics
University of Gdansk
ul. Wita Stwosza 57, 80-952 Gdansk, Poland
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