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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2013, Volume 19, Number 4, Pages 107–118 (Mi timm1004)  
This article is cited in 1 scientific paper (total in 1 paper)

Asymptotics of regularized solutions of an ill-posed Cauchy problem for an autonomous linear system of differential equations with commensurable delays

Yu. F. Dolgiiab, P. G. Surkovba

a Ural Federal University named after the First President of Russia B. N. Yeltsin, Ekaterinburg
b Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg
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Abstract: For an autonomous linear system of differential equations with commensurable delays, asymptotic formulas are found that describe the analytic dependences of regularized solutions of the system on the regularization parameter. The problem is solved under the requirement that the initial function is sufficiently smooth but with the violation of the conditions that guarantee the continuous extension of solution in the direction of decreasing time.
Keywords: differential equations with delay, ill-posed problem, asymptotic methods.
Received: 31.07.2013
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2014, Volume 287, Issue 1, Pages 55–67
DOI: https://doi.org/10.1134/S0081543814090065
Bibliographic databases:
Document Type: Article
UDC: 517.929
Language: Russian
Citation: Yu. F. Dolgii, P. G. Surkov, “Asymptotics of regularized solutions of an ill-posed Cauchy problem for an autonomous linear system of differential equations with commensurable delays”, Trudy Inst. Mat. i Mekh. UrO RAN, 19, no. 4, 2013, 107–118; Proc. Steklov Inst. Math. (Suppl.), 287, suppl. 1 (2014), 55–67
Citation in format AMSBIB
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\vol 19
\issue 4
\pages 107--118
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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