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Matematicheskie Zametki, 2016, Volume 100, Issue 1, Pages 13–29
DOI: https://doi.org/10.4213/mzm11125
(Mi mzm11125)
 

This article is cited in 3 scientific papers (total in 3 papers)

Well-Posed Boundary-Value Problems, Right Hyperbolicity, and Exponential Dichotomy

A. B. Antonevichab, E. V. Panteleevac

a Belarusian State University
b University of Bialystok, Poland
c A. S. Pushkin Brest State University
Full-text PDF (526 kB) Citations (3)
References:
Abstract: A relationship between the existence of well-posed boundary-value problems and exponential dichotomy for functional equations and linear differential-operator equations on a half-line is considered. It is shown that well-posed boundary-value problems can exist for equations without the exponential dichotomy property.
Keywords: differential operator equation, boundary-value problem, hyperbolic operator, exponential dichotomy, spectrum.
Received: 30.08.2015
English version:
Mathematical Notes, 2016, Volume 100, Issue 1, Pages 11–23
DOI: https://doi.org/10.1134/S0001434616070026
Bibliographic databases:
Document Type: Article
UDC: 517.937+517.983
Language: Russian
Citation: A. B. Antonevich, E. V. Panteleeva, “Well-Posed Boundary-Value Problems, Right Hyperbolicity, and Exponential Dichotomy”, Mat. Zametki, 100:1 (2016), 13–29; Math. Notes, 100:1 (2016), 11–23
Citation in format AMSBIB
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  • https://doi.org/10.4213/mzm11125
  • https://www.mathnet.ru/eng/mzm/v100/i1/p13
  • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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