Integration of cocycles and Lefschetz number formulae for differential operators.

Ramadoss, Ajay C.

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Nonimprovable sufficient conditions for the solvability and unique solvability of the problem $u^{'} (t) = F (u) (t), u (a) - λ u (b) = h (u)$ are established, where $F : \to$ is a continuous operator satisfying the Carathèodory conditions, $h : \to R$ is a continuous functional, and $λ \in$ .

Parametrized braid groups of Chevalley groups.

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