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Contemporary Mathematics. Fundamental Directions
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Contemporary Mathematics. Fundamental Directions, 2008, Volume 30, Pages 3–173 (Mi cmfd130)  

This article is cited in 65 scientific papers (total in 65 papers)

Functional-differential equations in Sobolev spaces and related problems of spectral theory

V. V. Vlasov, D. A. Medvedev

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
References:
English version:
Journal of Mathematical Sciences, 2010, Volume 164, Issue 5, Pages 659–841
DOI: https://doi.org/10.1007/s10958-010-9768-5
Bibliographic databases:
Document Type: Book
UDC: 517.929
Language: Russian
Citation: V. V. Vlasov, D. A. Medvedev, “Functional-differential equations in Sobolev spaces and related problems of spectral theory”, Functional differential equations, CMFD, 30, PFUR, M., 2008, 3–173; Journal of Mathematical Sciences, 164:5 (2010), 659–841
Citation in format AMSBIB
\Bibitem{VlaMed08}
\by V.~V.~Vlasov, D.~A.~Medvedev
\paper Functional-differential equations in Sobolev spaces and related problems of spectral theory
\inbook Functional differential equations
\serial CMFD
\yr 2008
\vol 30
\pages 3--173
\publ PFUR
\publaddr M.
\mathnet{http://mi.mathnet.ru/cmfd130}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2472270}
\elib{https://elibrary.ru/item.asp?id=15327963}
\transl
\jour Journal of Mathematical Sciences
\yr 2010
\vol 164
\issue 5
\pages 659--841
\crossref{https://doi.org/10.1007/s10958-010-9768-5}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-77949293672}
Linking options:
  • https://www.mathnet.ru/eng/cmfd130
  • https://www.mathnet.ru/eng/cmfd/v30/p3
  • This publication is cited in the following 65 articles:
    1. Vladimir Vasilyev, Natalya Zaitseva, “On Hyperbolic Equations with a Translation Operator in Lowest Derivatives”, Mathematics, 12:12 (2024), 1896  crossref
    2. Yu. N. Orlov, V. Z. Sakbaev, “Feynman–Kac Formulas for Difference-differential Equations of Retarded Type”, Lobachevskii J Math, 45:6 (2024), 2567  crossref
    3. N. V. Zaitseva, “Classical Solutions of Hyperbolic Differential-Difference Equations”, Diff Equat, 60:7 (2024), 817  crossref
    4. O. V. Solonukha, “Nonlinear Differential-Difference Equations of Elliptic and Parabolic Type and Their Applications to Nonlocal Problems”, J Math Sci, 2024  crossref
    5. N. V. Zaitseva, “On the Existence of Smooth Solutions to a Hyperbolic Differential-Difference Equation”, Diff Equat, 60:9 (2024), 1153  crossref
    6. N. V. Zaitseva, A. B. Muravnik, “Klassicheskie resheniya giperbolicheskogo differentsialno-raznostnogo uravneniya so sdvigom na proizvolnyi vektor”, Izv. vuzov. Matem., 2023, no. 5, 34–40  mathnet  crossref
    7. O. V. Solonukha, “Nelineinye differentsialno-raznostnye uravneniya ellipticheskogo i parabolicheskogo tipa i ikh prilozheniya k nelokalnym zadacham”, SMFN, 69, no. 3, Rossiiskii universitet druzhby narodov, M., 2023, 445–563  mathnet  crossref
    8. N. V. Zaitseva, A. B. Muravnik, “Smooth Solutions of Hyperbolic Equations with Translation by an Arbitrary Vector in the Free Term”, Diff Equat, 59:3 (2023), 371  crossref
    9. Vladimir Vasilyev, Natalya Zaitseva, “Classical Solutions of Hyperbolic Equation with Translation Operators in Free Terms”, Mathematics, 11:14 (2023), 3137  crossref
    10. Natalya V. Zaitseva, Springer Proceedings in Mathematics & Statistics, 423, Differential Equations, Mathematical Modeling and Computational Algorithms, 2023, 289  crossref
    11. N. V. Zaitseva, “On One Cauchy Problem for a Hyperbolic Differential-Difference Equation”, Diff Equat, 59:12 (2023), 1787  crossref
    12. N. V. Zaitseva, A. B. Muravnik, “A Classical Solution to a Hyperbolic Differential-Difference Equation with a Translation by an Arbitrary Vector”, Russ Math., 67:5 (2023), 29  crossref
    13. A. B. Muravnik, N. V. Zaitseva, “Classical Solutions of Hyperbolic Differential-Difference Equations with Differently Directed Translations”, Lobachevskii J Math, 44:3 (2023), 920  crossref
    14. N. V. Zaitseva, “Classical Solutions of a Multidimensional Hyperbolic Differential–Difference Equation with Shifts of Various Directions in the Potentials”, Math. Notes, 112:6 (2022), 872–880  mathnet  crossref  crossref
    15. Vladimir Vasilyev, Natalya Zaitseva, “Initial Problem for Two-Dimensional Hyperbolic Equation with a Nonlocal Term”, Mathematics, 11:1 (2022), 130  crossref
    16. N. V. Zaitseva, “Hyperbolic differential-difference equations with nonlocal potentials”, Ufa Math. J., 13:3 (2021), 36–43  mathnet  crossref  isi
    17. N. V. Zaitseva, “Classical solutions of hyperbolic equations with nonlocal potentials”, Dokl. Math., 103:3 (2021), 127–129  mathnet  crossref  crossref  zmath  elib
    18. N. V. Zaitseva, “Classical Solutions of Hyperbolic Differential–Difference Equations in a Half-Space”, Diff Equat, 57:12 (2021), 1629  crossref
    19. G. V. Demidenko, I. I. Matveeva, Springer Proceedings in Mathematics & Statistics, 379, Functional Differential Equations and Applications, 2021, 145  crossref
    20. Luciano Pandolfi, Interdisciplinary Applied Mathematics, 54, Systems with Persistent Memory, 2021, 103  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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