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Sibirskii Matematicheskii Zhurnal, 2015, Volume 56, Number 6, Pages 1234–1248
DOI: https://doi.org/10.17377/smzh.2015.56.603
(Mi smj2709)
 

This article is cited in 34 scientific papers (total in 34 papers)

On one homogeneous problem for the heat equation in an infinite angular domain

M. M. Amangalieva, M. T. Dzhenaliev, M. T. Kosmakova, M. I. Ramazanov

Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan
References:
Abstract: We prove that the operator of a boundary value problem of heat conduction in an infinite angular domain is Noetherian with index 11 in the class of growing functions.
Keywords: heat conduction, Volterra equation, Abel equation, index.
Received: 22.12.2014
English version:
Siberian Mathematical Journal, 2015, Volume 56, Issue 6, Pages 982–995
DOI: https://doi.org/10.1134/S0037446615060038
Bibliographic databases:
Document Type: Article
UDC: 517.95
Language: Russian
Citation: M. M. Amangalieva, M. T. Dzhenaliev, M. T. Kosmakova, M. I. Ramazanov, “On one homogeneous problem for the heat equation in an infinite angular domain”, Sibirsk. Mat. Zh., 56:6 (2015), 1234–1248; Siberian Math. J., 56:6 (2015), 982–995
Citation in format AMSBIB
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\paper On one homogeneous problem for the heat equation in an infinite angular domain
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\vol 56
\issue 6
\pages 1234--1248
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Linking options:
  • https://www.mathnet.ru/eng/smj2709
  • https://www.mathnet.ru/eng/smj/v56/i6/p1234
  • This publication is cited in the following 34 articles:
    1. M. T. Dzhenaliev, M. G. Ergaliev, A. A. Asetov, A. M. Ayazbaeva, “O zadache tipa Neimana dlya uravneniya Byurgersa v vyrozhdayuscheisya uglovoi oblasti”, Materialy Voronezhskoi mezhdunarodnoi zimnei matematicheskoi shkoly «Sovremennye metody teorii funktsii  i smezhnye problemy», Voronezh, 28 yanvarya – 2 fevralya 2021 g.  Chast 1, Itogi nauki i tekhn. Sovrem. mat. i ee pril. Temat. obz., 206, VINITI RAN, M., 2022, 42–62  mathnet  crossref
    2. M. T. Jenaliyev, M. T. Kosmakova, Zh. M. Tuleutaeva, “On the Solvability of Heat Boundary Value Problems in Sobolev Spaces”, Lobachevskii J Math, 43:8 (2022), 2133  crossref
    3. M. T. Jenaliyev, M. I. Ramazanov, M. G. Yergaliyev, “On an inverse problem for a parabolic equation in a degenerate angular domain”, Eurasian Math. J., 12:2 (2021), 25–38  mathnet  crossref
    4. M. I. Ramazanov, N. K. Gulmanov, “O singulyarnom integralnom uravnenii Volterra kraevoi zadachi teploprovodnosti v vyrozhdayuscheisya oblasti”, Vestn. Udmurtsk. un-ta. Matem. Mekh. Kompyut. nauki, 31:2 (2021), 241–252  mathnet  crossref
    5. Ramazanov I M., Jenaliyev M.T., Tanin A.O., “Two-Dimensional Boundary Value Problem of Heat Conduction in a Cone With Special Boundary Conditions”, Lobachevskii J. Math., 42:12 (2021), 2913–2925  crossref  mathscinet  zmath  isi  scopus
    6. Amangaliyeva M., Jenaliyev M., Iskakov S., Ramazanov M., “On a Boundary Value Problem For the Heat Equation and a Singular Integral Equation Associated With It”, Appl. Math. Comput., 399 (2021), 126009  crossref  mathscinet  zmath  isi  scopus
    7. Jenaliyev M.T., Ramazanov I M., Tanin A.O., “To the Solution of the Solonnikov-Fasano Problem With Boundary Moving on Arbitrary Law X = Gamma(T).”, Bull. Karaganda Univ-Math., 101:1 (2021), 37–49  crossref  isi
    8. M. T. Jenaliyev, A. A. Assetov, M. G. Yergaliyev, “On the Solvability of the Burgers Equation with Dynamic Boundary Conditions in a Degenerating Domain”, Lobachevskii J Math, 42:15 (2021), 3661  crossref
    9. M. I. Ramazanov, M. T. Kosmakova, Zh. M. Tuleutaeva, “On the Solvability of the Dirichlet Problem for the Heat Equation in a Degenerating Domain”, Lobachevskii J Math, 42:15 (2021), 3715  crossref
    10. M. T. Jenaliyev, M. I. Ramazanov, M. T. Kosmakova, Zh. M. Tuleutaeva, “On the solution to a two-dimensional heat conduction problem in a degenerate domain”, Eurasian Math. J., 11:3 (2020), 89–94  mathnet  crossref
    11. M. Jenaliyev, M. Ramazanov, M. Yergaliyev, “On the coefficient inverse problem of heat conduction in a degenerating domain”, Appl. Anal., 99:6 (2020), 1026–1041  crossref  mathscinet  zmath  isi  scopus
    12. D. M. Akhmanova, N. K. Shamatayeva, L. Zh. Kasymova, “On boundary value problems for essentially loaded parabolic equations in bounded domains”, Bull. Karaganda Univ-Math., 98:2 (2020), 6–14  crossref  isi
    13. M. T. Jenaliyev, M. I. Ramazanov, A. A. Assetov, “On Solonnikov-Fasano problem for the Burgers equation”, Bull. Karaganda Univ-Math., 98:2 (2020), 69–83  crossref  isi
    14. M. T. Kosmakova, V. G. Romanovski, D. M. Akhmanova, Zh. M. Tuleutaeva, A. Yu. Bartashevich, “On the solution to a two-dimensional boundary value problem of heat conduction in a degenerating domain”, Bull. Karaganda Univ-Math., 98:2 (2020), 100–109  crossref  isi
    15. M. T. Kosmakova, A. O. Tanin, Zh. M. Tuleutaeva, “Constructing the fundamental solution to a problem of heat conduction”, Bull. Karaganda Univ-Math., 97:1 (2020), 68–78  crossref  isi
    16. D. M. Akhmanova, M. T. Kosmakova, B. A. Shaldykova, “On strongly loaded heat equations”, Bull. Karaganda Univ-Math., 96:4 (2019), 8–14  crossref  isi
    17. M. T. Kosmakova, D. M. Akhmanova, Zh. M. Tuleutaeva, L. Zh. Kasymova, “Solving a nonhomogeneous integral equation with the variable lower limit”, Bull. Karaganda Univ-Math., 96:4 (2019), 52–57  crossref  isi
    18. M. T. Kosmakova, V. G. Romanovski, N. T. Orumbayeva, Zh. M. Tuleutaeva, L. Zh. Kasymova, “On the integral equation of an adjoint boundary value problem of heat conduction”, Bull. Karaganda Univ-Math., 95:3 (2019), 33–43  crossref  isi
    19. M. T. Kosmakova, D. M. Akhmanova, Zh. M. Tuleutaeva, L. Zh. Kasymova, “On a pseudo-Volterra nonhomogeneous integral equation”, Bull. Karaganda Univ-Math., 94:2 (2019), 48–55  crossref  isi
    20. M. T. Jenaliyev, M. I. Ramazanov, M. T. Kosmakova, A. O. Tanin, “To the solution of one pseudo-Volterra integral equation”, Bull. Karaganda Univ-Math., 93:1 (2019), 19–30  crossref  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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