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

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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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     author = {A. V. Guminskaya},
     title = {Index of zero and index at infinity for vector fields with nonnegative operators},
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     url = {http://geodesic.mathdoc.fr/item/TIMB_2006_14_1_a5/}
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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/