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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2010, Volume 16, Number 2, Pages 3–12 (Mi timm545)  
This article is cited in 4 scientific papers (total in 4 papers)

On unimprovable Lambert estimates of solutions for one class of nonlinear integral inequalities

A. S. Apartsyn, V. A. Spiryaev

L. A. Melentiev Energy Systems Institute, Siberian Branch of the Russian Academy of Sciences
Full-text PDF (168 kB) Citations (4)
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Abstract: Unimprovable estimates of continuous solutions for some nonlinear integral inequalities are obtained in terms of the Lambert $W$ function. Such inequalities play an important role in the mathematical theory of modeling nonlinear dynamical systems of the black box type by Volterra polynomials.
Keywords: Lambert function, unimprovable estimates, majorant Cauchy problem.
Received: 07.12.2009
Bibliographic databases:
Document Type: Article
UDC: 518.517
Language: Russian
Citation: A. S. Apartsyn, V. A. Spiryaev, “On unimprovable Lambert estimates of solutions for one class of nonlinear integral inequalities”, Trudy Inst. Mat. i Mekh. UrO RAN, 16, no. 2, 2010, 3–12
Citation in format AMSBIB
\Bibitem{ApaSpi10}
\by A.~S.~Apartsyn, V.~A.~Spiryaev
\paper On unimprovable Lambert estimates of solutions for one class of nonlinear integral inequalities
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2010
\vol 16
\issue 2
\pages 3--12
\mathnet{http://mi.mathnet.ru/timm545}
\elib{https://elibrary.ru/item.asp?id=14809434}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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