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Index of zero and index at infinity for vector fields with nonnegative operators

A. V. Guminskaya

Belarusian State University, Minsk

Abstract: Formulae for the relative index of zero and the asymptotic index for completely continuous nonnegative operator $A$ are given. The case is considered where $A$ has a Fréchet derivative at its fixed point with respect to $K$ and the operator of derivative has a mere eigenvector corresponding to the eigenvalue $1$.

UDC: 517.988

Received: 21.11.2005