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 Zh. Vychisl. Mat. Mat. Fiz., 2005, Volume 45, Number 9, Pages 1639–1650 (Mi zvmmf600)

Integration method as applied to the Cauchy problem for a Langmuir chain with divergent initial conditions

A. Kh. Khanmamedov

Baku State University

Abstract: A fast decreasing solution to the Cauchy problem for a Langmuir chain with a divergent initial condition has been investigated. An algorithm for finding a fast decreasing solution has been found, and the existence of this solution has been proved. A class of initial conditions ensuring the existence of a solution has been found.

Key words: Langmuir chain of ordinary differential equations, Cauchy problem, divergent initial conditions.

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English version:
Computational Mathematics and Mathematical Physics, 2005, 45:9, 1582–1592

Bibliographic databases:
UDC: 519.62

Citation: A. Kh. Khanmamedov, “Integration method as applied to the Cauchy problem for a Langmuir chain with divergent initial conditions”, Zh. Vychisl. Mat. Mat. Fiz., 45:9 (2005), 1639–1650; Comput. Math. Math. Phys., 45:9 (2005), 1582–1592

Citation in format AMSBIB
\Bibitem{Kha05} \by A.~Kh.~Khanmamedov \paper Integration method as applied to the Cauchy problem for a Langmuir chain with divergent initial conditions \jour Zh. Vychisl. Mat. Mat. Fiz. \yr 2005 \vol 45 \issue 9 \pages 1639--1650 \mathnet{http://mi.mathnet.ru/zvmmf600} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=2216074} \zmath{https://zbmath.org/?q=an:1096.34003} \transl \jour Comput. Math. Math. Phys. \yr 2005 \vol 45 \issue 9 \pages 1582--1592 

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• http://mi.mathnet.ru/eng/zvmmf/v45/i9/p1639

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Citing articles on Google Scholar: Russian citations, English citations
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This publication is cited in the following articles:
1. I. M. Guseinov, Ag. Kh. Khanmamedov, “An algorithm for solving the Cauchy problem for a finite Langmuir lattice”, Comput. Math. Math. Phys., 49:9 (2009), 1516–1520
2. A. Kh. Khanmamedov, “The Cauchy problem for a semi-infinite Volterra chain with an asymptotically periodic initial condition”, Siberian Math. J., 51:2 (2010), 346–356
3. M. G. Makhmudova, A. Kh. Khanmamedov, “Asymptotic periodic solution of the Cauchy problem for the Langmuir lattice”, Comput. Math. Math. Phys., 55:12 (2015), 2008–2013
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