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Izvestiya: Mathematics, 2011, Volume 75, Issue 2, Pages 347–370
DOI: https://doi.org/10.1070/IM2011v075n02ABEH002536
(Mi im4088)
 

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

The Bohl index of a homogeneous parabolic inclusion

V. S. Klimov

P. G. Demidov Yaroslavl State University
References:
Abstract: The Bohl index is associated with a one-parameter family of multi-valued maps of elliptic type $\mathscr F(t)$, $0\le t<\infty$. It determines the asymptotic behaviour of solutions of the parabolic inclusion $0\in y'+\mathscr F(t)y$. Our main aim is to obtain lower bounds for the Bohl index. We study the nature of the dependence of solutions of the above inclusion on the initial value and the map $\mathscr F$. We prove that the Bohl index is stable with respect to perturbations that are small on the average.
Keywords: inclusion, homogeneity, stability, multi-valued map, solution.
Received: 16.02.2009
Revised: 13.04.2009
Bibliographic databases:
Document Type: Article
UDC: 517.956
Language: English
Original paper language: Russian
Citation: V. S. Klimov, “The Bohl index of a homogeneous parabolic inclusion”, Izv. Math., 75:2 (2011), 347–370
Citation in format AMSBIB
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\by V.~S.~Klimov
\paper The Bohl index of a~homogeneous parabolic inclusion
\jour Izv. Math.
\yr 2011
\vol 75
\issue 2
\pages 347--370
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Linking options:
  • https://www.mathnet.ru/eng/im4088
  • https://doi.org/10.1070/IM2011v075n02ABEH002536
  • https://www.mathnet.ru/eng/im/v75/i2/p127
  • 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
    Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
     
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