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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2012, Volume 278, Pages 242–249 (Mi tm3402)  
This article is cited in 6 scientific papers (total in 6 papers)

On Dirichlet-type problems for the Lavrent'ev–Bitsadze equation

A. P. Soldatov

Belgorod State University, Belgorod, Russia
Full-text PDF (163 kB) Citations (6)
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Abstract: The existence and uniqueness issues are discussed for several boundary value problems with Dirichlet data for the Lavrent'ev–Bitsadze equation in a mixed domain. A general mixed problem (according to Bitsadze's terminology) is considered in which the Dirichlet data are relaxed on a hyperbolic region of the boundary inside a characteristic sector with vertex on the type-change interval. In particular, conditions are pointed out under which the problem is uniquely solvable for any choice of this vertex.
Received in November 2011
English version:
Proceedings of the Steklov Institute of Mathematics, 2012, Volume 278, Pages 233–240
DOI: https://doi.org/10.1134/S0081543812060223
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: A. P. Soldatov, “On Dirichlet-type problems for the Lavrent'ev–Bitsadze equation”, Differential equations and dynamical systems, Collected papers, Trudy Mat. Inst. Steklova, 278, MAIK Nauka/Interperiodica, Moscow, 2012, 242–249; Proc. Steklov Inst. Math., 278 (2012), 233–240
Citation in format AMSBIB
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\pages 242--249
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
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Linking options:
  • https://www.mathnet.ru/eng/tm3402
  • https://www.mathnet.ru/eng/tm/v278/p242
    • This publication is cited in the following 6 articles:
    1. Tursun K. Yuldashev, Farhod D. Rakhmonov, INTERNATIONAL UZBEKISTAN-MALAYSIA CONFERENCE ON “COMPUTATIONAL MODELS AND TECHNOLOGIES (CMT2020)”: CMT2020, 2365, INTERNATIONAL UZBEKISTAN-MALAYSIA CONFERENCE ON “COMPUTATIONAL MODELS AND TECHNOLOGIES (CMT2020)”: CMT2020, 2021, 060004  crossref
    2. Yuldashev T.K., “Nonlocal Inverse Problem For a Pseudohyperbolic-Pseudoelliptic Type Integro-Differential Equations”, Axioms, 9:2 (2020), 45  crossref  isi
    3. A. V. Kopaev, “Oblique Derivative Problem Solution for the Lavrentyev-Bitsadze Equation in a Half-Plane”, Mat. mat. model., 2019, no. 6, 1  crossref
    4. O. D. Algazin, “Polynomial Solutions of the Dirichlet Problem for the Tricomi Equation in a Strip”, Mat. mat. model., 2018, no. 3, 1  crossref
    5. O. Kh. Masaeva, “Uniqueness of solutions to Dirichlet problems for generalized Lavrent'ev–Bitsadze equations with a fractional derivative”, Electron. J. Differ. Equ., 2017, 74  mathscinet  zmath  isi
    6. A. P. Soldatov, “Mixed problems for the Lavrent'ev–Bitsadze equation”, Applications of Mathematics in Engineering and Economics (AMEE `12), AIP Conf. Proc., 1497, eds. V. Pasheva, G. Venkov, Amer. Inst. Phys., 2012, 199–204  crossref  adsnasa  isi  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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