Geodesic
Existence principles for inclusions of Hammerstein type involving noncompact acyclic multivalued maps
Electronic Journal of Differential Equations, Tome 2002 (2002).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: We apply Monch type fixed point theorems for acyclic multivalued maps to the solvability of inclusions of Hammerstein type in Banach spaces. Our approach makes possible to unify and improve the existence theories for nonlinear evolution problems and abstract integral inclusions of Volterra and Fredholm type.
Classification : 47H10, 45N05, 47J35
Keywords: fixed point, multivalued map, acyclic set, integral inclusion, Hammerstein equation, evolution equation, boundary value problem 
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     author = {Couchouron, Jean-Fran\c{c}ois and Precup, Radu},
     title = {Existence principles for inclusions of {Hammerstein} type involving noncompact acyclic multivalued maps},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2002},
     year = {2002},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2002__2002__a293/}
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Couchouron, Jean-François; Precup, Radu. Existence principles for inclusions of Hammerstein type involving noncompact acyclic multivalued maps. Electronic Journal of Differential Equations, Tome 2002 (2002). http://geodesic.mathdoc.fr/item/EJDE_2002__2002__a293/