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Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences
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Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, 2004, Issue 30, Pages 63–69
DOI: https://doi.org/10.14498/vsgtu308
(Mi vsgtu308)
 

This article is cited in 25 scientific papers (total in 25 papers)

Differential Equations

On the solvability of a boundary-value problem with a non-local boundary condition for linear parabolic equations

A. I. Kozhanov

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences (published under the terms of the Creative Commons Attribution 4.0 International License)
References:
Received 17.06.2004
Document Type: Article
UDC: 517.9
Language: Russian
Citation: A. I. Kozhanov, “On the solvability of a boundary-value problem with a non-local boundary condition for linear parabolic equations”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 30 (2004), 63–69
Citation in format AMSBIB
\Bibitem{Koz04}
\by A.~I.~Kozhanov
\paper On the solvability of a boundary-value problem with a non-local boundary condition for linear parabolic equations
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2004
\vol 30
\pages 63--69
\mathnet{http://mi.mathnet.ru/vsgtu308}
\crossref{https://doi.org/10.14498/vsgtu308}
Linking options:
  • https://www.mathnet.ru/eng/vsgtu308
  • https://www.mathnet.ru/eng/vsgtu/v30/p63
  • This publication is cited in the following 25 articles:
    1. Alexander Gladkov, “Global existence and blow-up of solutions of nonlinear nonlocal parabolic equation with absorption under nonlinear nonlocal boundary condition”, Monatsh Math, 203:2 (2024), 357  crossref
    2. M. M. Karmokov, F. M. Nakhusheva, S. Kh. Gekkieva, “Kraevye zadachi dlya razryvno-nagruzhennykh parabolicheskikh uravnenii”, Vestn. SamU. Estestvennonauchn. ser., 30:4 (2024), 7–17  mathnet  crossref
    3. Nikolay Popov, “TOPICAL ISSUES OF THERMOPHYSICS, ENERGETICS AND HYDROGASDYNAMICS IN THE ARCTIC CONDITIONS”: Dedicated to the 85th Birthday Anniversary of Professor E. A. Bondarev, 2528, “TOPICAL ISSUES OF THERMOPHYSICS, ENERGETICS AND HYDROGASDYNAMICS IN THE ARCTIC CONDITIONS”: Dedicated to the 85th Birthday Anniversary of Professor E. A. Bondarev, 2022, 020014  crossref
    4. Jo Y.-H., Ri M.-H., “Application of Rothe'S Method to a Parabolic Inverse Problem With Nonlocal Boundary Condition”, Appl. Mat., 2021  crossref  isi  scopus
    5. Popov N.S., “Nonlocal Integro-Differential Boundary Value Problems For the Third-Order Equations”, AIP Conference Proceedings, 2328, eds. Grigorev Y., Popov S., Sharin E., Amer Inst Physics, 2021, 020003  crossref  isi  scopus
    6. Gladkov A., Kavitova T., “Global Existence of Solutions of Initial Boundary Value Problem For Nonlocal Parabolic Equation With Nonlocal Boundary Condition”, Math. Meth. Appl. Sci., 43:8 (2020), 5464–5479  crossref  mathscinet  zmath  isi  scopus
    7. N S Popov, “Nonlocal integro-differential problems of multi-dimensional wave processes”, J. Phys.: Conf. Ser., 1268:1 (2019), 012060  crossref
    8. Nikolay S. Popov, AIP Conference Proceedings, 2035, 2018, 050014  crossref
    9. A. K. Urinov, Sh. T. Nishonova, “A Problem with Integral Conditions for an Elliptic-Parabolic Equation”, Math. Notes, 102:1 (2017), 68–80  mathnet  crossref  crossref  mathscinet  isi  elib
    10. R. K. Tagiev, V. M. Gabibov, “Raznostnaya approksimatsiya i regulyarizatsiya zadachi optimalnogo upravleniya dlya parabolicheskogo uravneniya s integralnym usloviem”, Vestn. Tomsk. gos. un-ta. Matem. i mekh., 2017, no. 50, 30–44  mathnet  crossref  elib
    11. Nikolay S. Popov, “On Solvability of Boundary Value Problems for Hyperbolic Fourth-Order Equations with Nonlocal Boundary Conditions of Integral Type”, AIP Conference Proceedings, 1907 (2017), 030008  crossref  isi  scopus
    12. R. K. Tagiev, V. M. Gabibov, “Ob odnoi zadache optimalnogo upravleniya dlya uravneniya teploprovodnosti s integralnym granichnym usloviem”, Vestn. Sam. gos. tekhn. un-ta. Ser. Fiz.-mat. nauki, 20:1 (2016), 54–64  mathnet  crossref  zmath  elib
    13. R. K. Tagiev, S. A. Gashimov, V. M. Gabibov, “Ob odnoi zadache optimalnogo upravleniya dlya parabolicheskogo uravneniya s integralnym usloviem i s upravleniyami v koeffitsientakh”, Vestn. Tomsk. gos. un-ta. Matem. i mekh., 2016, no. 3(41), 31–41  mathnet  crossref  elib
    14. N. S. Popov, “O razreshimosti prostranstvenno nelokalnykh kraevykh zadach dlya odnomernykh psevdoparabolicheskikh i psevdogiperbolicheskikh uravnenii”, Vestn. SamGU. Estestvennonauchn. ser., 2015, no. 3(125), 29–43  mathnet  elib
    15. N. E. Tokmagambetov, “Gellerstedt Equation with the Perturbation of the Cauchy Condition”, J. Math. Sci., 213:6 (2016), 910–916  mathnet  crossref
    16. A. M. Abdrakhmanov, “Solvability of a Boundary-Value Problem with an Integral Boundary Condition of the Second Kind for Equations of Odd Order”, Math. Notes, 88:2 (2010), 151–159  mathnet  crossref  crossref  mathscinet  isi
    17. G. A. Lukina, “O razreshimosti prostranstvenno nelokalnykh kraevykh zadach dlya uravneniya tretego poryadka”, Matematicheskie zametki SVFU, 17:1 (2010), 35–46  zmath  elib
    18. O. Yu. Danilkina, “Ob odnoi nelokalnoi zadache dlya uravneniya teploprovodnosti s integralnym usloviem”, Vestn. Sam. gos. tekhn. un-ta. Ser. Fiz.-mat. nauki, 1(14) (2007), 5–9  mathnet  crossref
    19. A. M. Abdrakhmanov, A. I. Kozhanov, “A problem with a nonlocal boundary condition for one class of odd-order equations”, Russian Math. (Iz. VUZ), 51:5 (2007), 1–10  mathnet  crossref  mathscinet  zmath  elib
    20. R. R. Safiullova, “Kraevaya zadacha s integralnymi usloviyami dlya differentsialnogo uravneniya tretego poryadka”, Vestn. Novosibir. gos. un-ta. Ser. Matematika, mekhanika, informatika, 7:1 (2007), 85–101  mathscinet  zmath
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Вестник Самарского государственного технического университета. Серия: Физико-математические науки
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