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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2012, Volume 52, Number 9, Pages 1621–1632 (Mi zvmmf9732)  

This article is cited in 12 scientific papers (total in 12 papers)

Dirac system with non-differentiable potential and periodic boundary conditions

M. Sh. Burlutskayaa, V. V. Kornevb, A. P. Khromovb

a Voronezh State University
b Saratov State University named after N. G. Chernyshevsky
References:
Received: 03.04.2012
Document Type: Article
UDC: 519.634
Language: Russian
Citation: M. Sh. Burlutskaya, V. V. Kornev, A. P. Khromov, “Dirac system with non-differentiable potential and periodic boundary conditions”, Zh. Vychisl. Mat. Mat. Fiz., 52:9 (2012), 1621–1632
Citation in format AMSBIB
\Bibitem{BurKorKhr12}
\by M.~Sh.~Burlutskaya, V.~V.~Kornev, A.~P.~Khromov
\paper Dirac system with non-differentiable potential and periodic boundary conditions
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2012
\vol 52
\issue 9
\pages 1621--1632
\mathnet{http://mi.mathnet.ru/zvmmf9732}
Linking options:
  • https://www.mathnet.ru/eng/zvmmf9732
  • https://www.mathnet.ru/eng/zvmmf/v52/i9/p1621
  • This publication is cited in the following 12 articles:
    1. Makin A., “On Convergence of Spectral Expansions of Dirac Operators With Regular Boundary Conditions”, Math. Nachr., 295:1 (2022), 189–210  crossref  mathscinet  isi  scopus
    2. M. Sh. Burlutskaya, “Some properties of functional-differential operators with involution $\nu(x)=1-x$ and their applications”, Russian Math. (Iz. VUZ), 65:5 (2021), 69–76  mathnet  crossref  crossref  isi
    3. A. S. Makin, “O dvukhtochechnykh kraevykh zadachakh dlya operatorov Shturma—Liuvillya i Diraka”, Materialy Voronezhskoi vesennei matematicheskoi shkoly «Sovremennye metody teorii kraevykh zadach. Pontryaginskie chteniya–XXX». Voronezh, 3–9 maya 2019 g. Chast 5, Itogi nauki i tekhn. Sovrem. mat. i ee pril. Temat. obz., 194, VINITI RAN, M., 2021, 144–154  mathnet  crossref
    4. A. M. Savchuk, I. V. Sadovnichaya, “Spektralnyi analiz odnomernoi sistemy Diraka s summiruemym potentsialom i operatora Shturma—Liuvillya s koeffitsientami-raspredeleniyami”, Spektralnyi analiz, SMFN, 66, no. 3, Rossiiskii universitet druzhby narodov, M., 2020, 373–530  mathnet  crossref
    5. M. Sh. Burlutskaya, “Classical and generalized solutions of a mixed problem for a system of first-order equations with a continuous potential”, Comput. Math. Math. Phys., 59:3 (2019), 355–365  mathnet  crossref  crossref  isi  elib
    6. A. M. Savchuk, “On the basis property of the system of eigenfunctions and associated functions of a one-dimensional Dirac operator”, Izv. Math., 82:2 (2018), 351–376  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    7. M. Sh. Burlutskaya, A. P. Khromov, “Dirac operator with a potential of special form and with the periodic boundary conditions”, Differ. Equ., 54:5 (2018), 586–595  crossref  crossref  mathscinet  isi  elib  elib  scopus
    8. I. V. Sadovnichaya, “Equiconvergence of spectral decompositions for the Dirac system with potential in Lebesgue spaces”, Proc. Steklov Inst. Math., 293 (2016), 288–316  mathnet  crossref  crossref  mathscinet  isi  elib
    9. Sadovnichaya I.V., “Uniform asymptotics of the eigenvalues and eigenfunctions of the Dirac system with an integrable potential”, Differ. Equ., 52:8 (2016), 1000–1010  mathnet  crossref  mathscinet  zmath  isi  elib  scopus
    10. Savchuk A.M., “Dirac system with potential lying in Besov spaces”, Differ. Equ., 52:4 (2016), 431–446  crossref  mathscinet  zmath  isi  elib  scopus
    11. Burlutskaya M.Sh., Khromov A.P., “Functional Differential Operators with Involution and Dirac Operators with Periodic Boundary Conditions”, Dokl. Math., 89:1 (2014), 8–10  crossref  mathscinet  zmath  isi  elib  scopus
    12. V. V. Kornev, A. P. Khromov, “Sistema Diraka s nedifferentsiruemym potentsialom i antiperiodicheskimi kraevymi usloviyami”, Izv. Sarat. un-ta. Nov. ser. Ser.: Matematika. Mekhanika. Informatika, 13:3 (2013), 28–35  mathnet  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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