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Trudy Instituta Matematiki, 2006, Volume 14, Number 1, Pages 44–50 (Mi timb110)  

This article is cited in 1 scientific paper (total in 1 paper)

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

A. V. Guminskaya

Belarusian State University, Minsk
Full-text PDF (359 kB) Citations (1)
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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 $1$.
Received: 21.11.2005
Document Type: Article
UDC: 517.988
Language: Russian
Citation: A. V. Guminskaya, “Index of zero and index at infinity for vector fields with nonnegative operators”, Tr. Inst. Mat., 14:1 (2006), 44–50
Citation in format AMSBIB
\Bibitem{Gum06}
\by A.~V.~Guminskaya
\paper Index of zero and index at infinity for vector fields with nonnegative operators
\jour Tr. Inst. Mat.
\yr 2006
\vol 14
\issue 1
\pages 44--50
\mathnet{http://mi.mathnet.ru/timb110}
Linking options:
  • https://www.mathnet.ru/eng/timb110
  • https://www.mathnet.ru/eng/timb/v14/i1/p44
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Труды Института математики
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    Full-text PDF :105
    References:43
     
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