Geodesic
A Topological Transversality Theorem For Multi-Valued Maps In Locally Convex Spaces With Applications To Neutral Equations
Canadian journal of mathematics, Tome 44 (1992) no. 5, pp. 1003-1013

Voir la notice de l'article provenant de la source Cambridge University Press

The concept of essential map and topological transversality due to A. Granas is extended to multi-valued maps in locally convex spaces and it is next applied to prove the solvability of boundary value problems for certain neutral functional differential equations. In order to achieve a required compactness property, the weak topology in a Sobolev space is considered. The topological tool established in the first part of the paper allows to avoid some obstacles which are encountered when trying to use standard degree-theoretical arguments.
DOI : 10.4153/CJM-1992-061-5
Mots-clés : 34H10, 34K10, Topological transversality in locally convex space, multi-valued maps, neutral equations, boundary value problems. 
Kaczynski, Tomasz; Wu, Jianhong. A Topological Transversality Theorem For Multi-Valued Maps In Locally Convex Spaces With Applications To Neutral Equations. Canadian journal of mathematics, Tome 44 (1992) no. 5, pp. 1003-1013. doi: 10.4153/CJM-1992-061-5
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