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Mathematics of the USSR-Izvestiya, 1967, Volume 1, Issue 1, Pages 57–79
DOI: https://doi.org/10.1070/IM1967v001n01ABEH000547
(Mi im2529)
 

This article is cited in 17 scientific papers (total in 19 papers)

Operators involving a first derivative with respect to time and nonlocal boundary conditions

A. A. Dezin
References:
Abstract: We study an operator equation of the form dudtAu=f with boundary conditions relating values u(t) for t=0 with the values for t=a.
Received: 19.02.1966
Bibliographic databases:
Document Type: Article
UDC: 517.944
MSC: 47F05, 47Axx, 35P05
Language: English
Original paper language: Russian
Citation: A. A. Dezin, “Operators involving a first derivative with respect to time and nonlocal boundary conditions”, Math. USSR-Izv., 1:1 (1967), 57–79
Citation in format AMSBIB
\Bibitem{Dez67}
\by A.~A.~Dezin
\paper Operators involving a first derivative with respect to time and nonlocal boundary conditions
\jour Math. USSR-Izv.
\yr 1967
\vol 1
\issue 1
\pages 57--79
\mathnet{http://mi.mathnet.ru/eng/im2529}
\crossref{https://doi.org/10.1070/IM1967v001n01ABEH000547}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=213762}
\zmath{https://zbmath.org/?q=an:0152.14203}
Linking options:
  • https://www.mathnet.ru/eng/im2529
  • https://doi.org/10.1070/IM1967v001n01ABEH000547
  • https://www.mathnet.ru/eng/im/v31/i1/p61
  • This publication is cited in the following 19 articles:
    1. B. Yu. Irgashev, “On a Problem with Conjugation Conditions for an Equation of Even Order Involving a Caputo Fractional Derivative”, Math. Notes, 112:2 (2022), 215–222  mathnet  crossref  crossref  mathscinet
    2. Kamoliddin T. Karimov, “Nonlocal problem for a three-dimensional elliptic equation with singular coefficients in a rectangular parallelepiped”, Zhurn. SFU. Ser. Matem. i fiz., 13:5 (2020), 533–546  mathnet  crossref
    3. K. T. Karimov, “Nonlocal Problem for an Elliptic Equation with Singular Coefficients in a Semi-infinite Parallelepiped”, Lobachevskii J Math, 41:1 (2020), 46  crossref
    4. K. B. Sabitov, V. A. Gushchina (Novikova), “A.A. Dezin's problem for inhomogeneous Lavrent'ev–Bitsadze equation”, Russian Math. (Iz. VUZ), 61:3 (2017), 31–43  mathnet  crossref  isi
    5. K. B. Sabitov, V. A. Novikova, “Nonlocal A. A. Dezin's problem for Lavrent'ev–Bitsadze equation”, Russian Math. (Iz. VUZ), 60:6 (2016), 52–62  mathnet  crossref  isi
    6. V. A. Guschina, “Nelokalnaya zadacha A. A. Dezina dlya uravneniya smeshannogo elliptiko-giperbolicheskogo tipa”, Vestn. Sam. gos. tekhn. un-ta. Ser. Fiz.-mat. nauki, 20:1 (2016), 22–32  mathnet  crossref  zmath  elib
    7. V. A. Guschina, “Kriterii edinstvennosti resheniya zadachi Dezina dlya uravneniya smeshannogo tipa so stepennym vyrozhdeniem”, Vestn. SamU. Estestvennonauchn. ser., 2016, no. 3-4, 24–31  mathnet  elib
    8. V. A. Gushchina, “DEZIN NONLOCAL PROBLEM FOR A MIXED-TYPE EQUATION WITH POWER DEGENERATION”, Vestnik of Samara University. Natural Science Series, 22:3-4 (2016), 24  crossref
    9. S. N. Sidorov, “Nonlocal problems for an equation of mixed parabolic-hyperbolic type with power degeneration”, Russian Math. (Iz. VUZ), 59:12 (2015), 46–55  mathnet  crossref
    10. V. S. Vladimirov, I. V. Volovich, A. K. Gushchin, Yu. N. Drozhzhinov, V. V. Zharinov, B. I. Zav'yalov, V. A. Il'in, G. I. Marchuk, V. P. Mikhailov, E. I. Moiseev, S. M. Nikol'skii, B. V. Pal'tsev, “Aleksei Alekseevich Dezin (obituary)”, Russian Math. Surveys, 64:3 (2009), 553–560  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    11. M. K. Kerimov, B. V. Pal'tsev, “In Memory of Professor Aleksei Alekseevich Dezin (1923–2008)”, Comput. Math. Math. Phys., 49:2 (2009), 387–390  mathnet  crossref  mathscinet  isi  elib
    12. Nurmamedov M.A.O., “O korrektnosti odnoi nelokalnoi zadachi dlya sistemy uravnenii neklassicheskogo tipa v mnogomernoi oblasti”, Vestn. Dagestanskogo nauchnogo tsentra, 2009, no. 36, 9–14  elib
    13. V. V. Kornienko, “On a non-local problem for irregular equations”, Sb. Math., 191:11 (2000), 1607–1633  mathnet  crossref  crossref  mathscinet  zmath  isi
    14. L. A. Muravei, A. V. Filinovskii, “On a problem with nonlocal boundary condition for a parabolic equation”, Math. USSR-Sb., 74:1 (1993), 219–249  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    15. A. B. Antonevich, “Boundary value problems with strong nonlocalness for elliptic equations”, Math. USSR-Izv., 34:1 (1990), 1–21  mathnet  crossref  mathscinet  zmath
    16. N. V. Kislov, “Nonhomogeneous boundary value problems for differential-operator equations of mixed type, and their application”, Math. USSR-Sb., 53:1 (1986), 17–35  mathnet  crossref  mathscinet  zmath
    17. A. Kh. Mamyan, “On some properties of the set of boundary value problems”, Math. USSR-Sb., 49:2 (1984), 367–377  mathnet  crossref  mathscinet  zmath
    18. A. A. Dezin, “On some systems of equations containing a small parameter”, Math. USSR-Sb., 39:3 (1981), 289–298  mathnet  crossref  mathscinet  zmath  isi
    19. A. A. Dezin, “On the general theory of boundary value problems”, Math. USSR-Sb., 29:2 (1976), 147–155  mathnet  crossref  mathscinet  zmath  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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