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Russian Academy of Sciences. Izvestiya Mathematics, 1993, Volume 41, Issue 1, Pages 75–94
DOI: https://doi.org/10.1070/IM1993v041n01ABEH002252 (Mi im927) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Relaxation cycles of differential-difference equations

A. Yu. Kolesov, Yu. S. Kolesov
English version PDF (973 kB) Citations (1)
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DOI: https://doi.org/10.1070/IM1993v041n01ABEH002252
Abstract: Equations of this type are widely used in the mathematical modeling of many biophysical processes. An informative example from mathematical ecology is used below to expound ways for constructing the asymptotics of their relaxation cycles of finite amplitude, along with methods of asymptotic integration of variational equations. An important resume of our investigation: the further development of the theory of relaxation oscillations of differential-difference equations is connected with the study of examples from various areas of the natural sciences.
Received: 19.02.1991
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 1992, Volume 56, Issue 4, Pages 790–812
Bibliographic databases:
UDC: 517.925
MSC: Primary 34K25, 34C05, 34C25; Secondary 92D25, 92D50, 92D40
Language: English
Original paper language: Russian
Citation: A. Yu. Kolesov, Yu. S. Kolesov, “Relaxation cycles of differential-difference equations”, Izv. RAN. Ser. Mat., 56:4 (1992), 790–812; Russian Acad. Sci. Izv. Math., 41:1 (1993), 75–94
Citation in format AMSBIB
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\paper Relaxation cycles of differential-difference equations
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\yr 1992
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\pages 790--812
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\transl
\jour Russian Acad. Sci. Izv. Math.
\yr 1993
\vol 41
\issue 1
\pages 75--94
\crossref{https://doi.org/10.1070/IM1993v041n01ABEH002252}
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  • https://www.mathnet.ru/eng/im/v56/i4/p790
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:301
    Russian version PDF:90
    English version PDF:13
    References:44
    First page:2
     
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