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Funktsional'nyi Analiz i ego Prilozheniya, 2009, Volume 43, Issue 4, Pages 91–96
DOI: https://doi.org/10.4213/faa2972 (Mi faa2972) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Brief communications

Indefinite Sturm Theory

A. Portaluri

Università del Salento, Italy
Full-text PDF (161 kB) Citations (1)
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DOI: https://doi.org/10.4213/faa2972
Abstract: The symplectic versions of the Sturm oscillation and comparison theorem describe some properties of the Maslov index and were proved by developing a suitable intersection theory in the Lagrangian Grassmannian setting. What we propose here is a Sturm oscillation and comparison theorem for indefinite systems, obtained by defining a new index by means of the Brouwer degree of a determinant map associated with a suspension of a complexified family of boundary value problems.
Keywords: Hermitian form, spectral flow, Brouwer degree.
Received: 15.05.2007
Revised: 10.12.2008
English version:
Functional Analysis and Its Applications, 2009, Volume 43, Issue 4, Pages 316–319
DOI: https://doi.org/10.1007/s10688-009-0039-5
Bibliographic databases:
Document Type: Article
UDC: 517.97
Language: Russian
Citation: A. Portaluri, “Indefinite Sturm Theory”, Funktsional. Anal. i Prilozhen., 43:4 (2009), 91–96; Funct. Anal. Appl., 43:4 (2009), 316–319
Citation in format AMSBIB
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\paper Indefinite Sturm Theory
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\jour Funct. Anal. Appl.
\yr 2009
\vol 43
\issue 4
\pages 316--319
\crossref{https://doi.org/10.1007/s10688-009-0039-5}
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  • https://doi.org/10.4213/faa2972
  • https://www.mathnet.ru/eng/faa/v43/i4/p91
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Функциональный анализ и его приложения Functional Analysis and Its Applications
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    Full-text PDF :192
    References:83
    First page:15
     
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