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Funktsional'nyi Analiz i ego Prilozheniya, 2005, Volume 39, Issue 1, Pages 82–85
DOI: https://doi.org/10.4213/faa33 (Mi faa33) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Brief communications

On the Hyperbolicity of Rapidly Oscillating Periodic Solutions of Functional Differential Equations

H.-O. Walthera, A. L. Skubachevskiib

a Justus Liebig Universität Giessen
b Moscow Aviation Institute
Full-text PDF (176 kB) Citations (4)
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DOI: https://doi.org/10.4213/faa33
Abstract: We consider periodic solutions of nonlinear functional differential equations with rational periods less than 2. We study the spectral properties of monodromy operators and state a hyperbolicity criterion for such solutions.
Keywords: functional differential equations, periodic solutions, hyperbolicity.
Received: 28.06.2004
English version:
Functional Analysis and Its Applications, 2005, Volume 39, Issue 1, Pages 68–70
DOI: https://doi.org/10.1007/s10688-005-0018-4
Bibliographic databases:
Document Type: Article
UDC: 517.929
Language: Russian
Citation: H. Walther, A. L. Skubachevskii, “On the Hyperbolicity of Rapidly Oscillating Periodic Solutions of Functional Differential Equations”, Funktsional. Anal. i Prilozhen., 39:1 (2005), 82–85; Funct. Anal. Appl., 39:1 (2005), 68–70
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/faa33
  • https://doi.org/10.4213/faa33
  • https://www.mathnet.ru/eng/faa/v39/i1/p82
    • This publication is cited in the following 4 articles:
    1. Fiedler B., Oliva S.M., “Delayed Feedback Control of a Delay Equation at Hopf Bifurcation”, J. Dyn. Differ. Equ., 28:3-4, SI (2016), 1357–1391  crossref  mathscinet  zmath  isi  elib  scopus
    2. Baker Ch.T.H., “Observations on Evolutionary Models with (Or Without) Time Lag, and on Problematical Paradigms”, Math. Comput. Simul., 96:SI (2014), 4–53  crossref  mathscinet  isi  scopus
    3. N. B. Zhuravlev, “Hyperbolicity criterion for periodic solutions of functional-differential equations with several delays”, Journal of Mathematical Sciences, 153:5 (2008), 683–709  mathnet  crossref  mathscinet  zmath  elib
    4. N. B. Zhuravlev, A. L. Skubachevskii, “Hyperbolicity of Periodic Solutions of Functional Differential Equations with Several Delays”, Proc. Steklov Inst. Math., 256 (2007), 136–159  mathnet  crossref  mathscinet  zmath  elib  elib
    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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    Abstract page:716
    Full-text PDF :296
    References:97
    First page:2
     
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