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Matematicheskie Zametki, 2012, Volume 92, Issue 4, Pages 533–540
DOI: https://doi.org/10.4213/mzm8900 (Mi mzm8900) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Extremal Properties of Solutions of Special Classes of a Hyperbolic-Type Equation

V. M. Dolgopolov, I. N. Rodionova

Samara State University
Full-text PDF (387 kB) Citations (3)
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DOI: https://doi.org/10.4213/mzm8900
Abstract: Special classes of solutions of the Cauchy problem for a hyperbolic equation are introduced and local extremum principles for the cases of positive and negative values of the parameter of the equation are established.
Keywords: hyperbolic equation, local extremum, Gauss hypergeometric function, Cauchy problem, extremum principle, boundary-value problem.
Received: 05.12.2011
English version:
Mathematical Notes, 2012, Volume 92, Issue 4, Pages 490–496
DOI: https://doi.org/10.1134/S0001434612090210
Bibliographic databases:
Document Type: Article
UDC: 517.953
Language: Russian
Citation: V. M. Dolgopolov, I. N. Rodionova, “Extremal Properties of Solutions of Special Classes of a Hyperbolic-Type Equation”, Mat. Zametki, 92:4 (2012), 533–540; Math. Notes, 92:4 (2012), 490–496
Citation in format AMSBIB
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  • https://doi.org/10.4213/mzm8900
  • https://www.mathnet.ru/eng/mzm/v92/i4/p533
    • This publication is cited in the following 3 articles:
    1. M. V. Dolgopolov, I. N. Rodionova, “O postanovke vidoizmenennykh zadach dlya uravneniya Eilera–Darbu v sluchae parametrov, ravnykh po modulyu $\dfrac{1}{2}$”, Sovremennye problemy matematiki i fiziki, SMFN, 65, no. 1, Rossiiskii universitet druzhby narodov, M., 2019, 11–20  mathnet  crossref
    2. M. V. Dolgopolov, I. N. Rodionova, V. M. Dolgopolov, “Ob odnoi nelokalnoi zadache dlya uravneniya Eilera–Darbu”, Vestn. Sam. gos. tekhn. un-ta. Ser. Fiz.-mat. nauki, 20:2 (2016), 259–275  mathnet  crossref  zmath  elib
    3. I. N. Rodionova, V. M. Dolgopolov, “Analog zadachi $\Delta_1$ dlya giperbolicheskogo uravneniya vtorogo poryadka v trekhmernom evklidovom prostranstve”, Vestn. Sam. gos. tekhn. un-ta. Ser. Fiz.-mat. nauki, 19:4 (2015), 697–709  mathnet  crossref  zmath  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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