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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2016, Number 2, Pages 54–61 (Mi ivm9082)  

This article is cited in 4 scientific papers (total in 4 papers)

On solvability of the Cauchy problem for one quasilinear singular functional-differential equation

V. P. Plaksinaa, I. M. Plaksinab, E. V. Plekhovaa

a Chair of Higher Mathematics, State National Research Polytechnical University of Perm, 29 Komsomolskii ave., Perm, 614990 Russia
b Chair of Workflow Automation, State National Research Polytechnical University of Perm, 29 Komsomolskii ave., Perm, 614990 Russia
Full-text PDF (199 kB) Citations (4)
References:
Abstract: We consider the Cauchy problem with zero initial conditions for quasilinear singular functional-differential equation of the second order with a delay at singular summand. We obtain sufficient conditions of solvability of the problem.
Keywords: singular differential equation, Cauchy problem, functional-differential equation.
Funding agency Grant number
Russian Foundation for Basic Research 14-01-00338
Received: 05.07.2014
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2016, Volume 60, Issue 2, Pages 46–51
DOI: https://doi.org/10.3103/S1066369X16020080
Bibliographic databases:
Document Type: Article
UDC: 517.929
Language: Russian
Citation: V. P. Plaksina, I. M. Plaksina, E. V. Plekhova, “On solvability of the Cauchy problem for one quasilinear singular functional-differential equation”, Izv. Vyssh. Uchebn. Zaved. Mat., 2016, no. 2, 54–61; Russian Math. (Iz. VUZ), 60:2 (2016), 46–51
Citation in format AMSBIB
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\pages 46--51
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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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    Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
     
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