Geodesic
Index of zero and index at infinity for vector fields with nonnegative operators
Trudy Instituta matematiki, Tome 14 (2006) no. 1, pp. 44-50 
A. V. Guminskaya. Index of zero and index at infinity for vector fields with nonnegative operators. Trudy Instituta matematiki, Tome 14 (2006) no. 1, pp. 44-50. http://geodesic.mathdoc.fr/item/TIMB_2006_14_1_a5/
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Voir la notice de l'article provenant de la source Math-Net.Ru

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 $1$.

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