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Russian Mathematical Surveys, 1989, Volume 44, Issue 3, Pages 67–111
DOI: https://doi.org/10.1070/RM1989v044n03ABEH002115
(Mi rm2291)
 

This article is cited in 23 scientific papers (total in 23 papers)

Boundary values of solutions of operator-differential equations

V. I. Gorbachuk, A. V. Knyazyuk
References:
Received: 25.01.1988
Bibliographic databases:
Document Type: Article
UDC: 517.98
MSC: 35R20, 34Bxx
Language: English
Original paper language: Russian
Citation: V. I. Gorbachuk, A. V. Knyazyuk, “Boundary values of solutions of operator-differential equations”, Russian Math. Surveys, 44:3 (1989), 67–111
Citation in format AMSBIB
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\by V.~I.~Gorbachuk, A.~V.~Knyazyuk
\paper Boundary values of solutions of operator-differential equations
\jour Russian Math. Surveys
\yr 1989
\vol 44
\issue 3
\pages 67--111
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\crossref{https://doi.org/10.1070/RM1989v044n03ABEH002115}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1024043}
\zmath{https://zbmath.org/?q=an:0694.47033}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?1989RuMaS..44...67G}
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Linking options:
  • https://www.mathnet.ru/eng/rm2291
  • https://doi.org/10.1070/RM1989v044n03ABEH002115
  • https://www.mathnet.ru/eng/rm/v44/i3/p55
  • This publication is cited in the following 23 articles:
    1. Rafael Aparicio, Valentin Keyantuo, Carlos Lizama, “A Characterization of Uniform Well Posedness for Degenerate Second-Order Abstract Differential Equations”, Results Math, 78:5 (2023)  crossref
    2. Meltem Sertbaş, “Normal extensions for degenerate conformable fractional α-order differential operator”, J. Pseudo-Differ. Oper. Appl., 14:2 (2023)  crossref
    3. David Nicolas Nenning, Gerhard Schindl, “Ultradifferentiable classes of entire functions”, Adv. Oper. Theory, 8:4 (2023)  crossref
    4. V. A. Kostin, D. V. Kostin, A. V. Kostin, “On the correct solvability of the Dirichlet boundary value problem for the generalized Helmholtz equation in a strip”, Dokl. Math., 104:1 (2021), 184–187  mathnet  crossref  crossref  zmath  elib
    5. V. L. Makarov, N. V. Mayko, “Weighted Estimates of the Cayley Transform Method for Boundary Value Problems in a Banach Space”, Numerical Functional Analysis and Optimization, 42:2 (2021), 211  crossref
    6. V.L. Makarov, N.V. Mayko, “Weighted accuracy estimates of the Cayley transform method for abstract boundary-value problems in a Banach space”, Dopov. Nac. akad. nauk Ukr., 2020, no. 5, 3  crossref
    7. Marat V. Markin, “On the Gevrey ultradifferentiability of weak solutions of an abstract evolution equation with a scalar type spectral operator on the real axis”, Open Mathematics, 18:1 (2020), 1952  crossref
    8. Marat V. Markin, Edward S. Sichel, “On the Non-Hypercyclicity of Normal Operators, Their Exponentials, and Symmetric Operators”, Mathematics, 7:10 (2019), 903  crossref
    9. Marat V. Markin, “On the Gevrey ultradifferentiability of weak solutions of an abstract evolution equation with a scalar type spectral operator on the open semi-axis”, Open Mathematics, 17:1 (2019), 1082  crossref
    10. V. A. Kostin, D. V. Kostin, A. V. Kostin, “Operator Cosine Functions and Boundary Value Problems”, Dokl. Math., 99:3 (2019), 303  crossref
    11. Marat V. Markin, “On the Gevrey ultradifferentiability of weak solutions of an abstract evolution equation with a scalar type spectral operator of orders less than one”, Open Mathematics, 17:1 (2019), 1  crossref
    12. Marat V. Markin, “Comment on “On the Carleman Classes of Vectors of a Scalar Type Spectral Operator””, International Journal of Mathematics and Mathematical Sciences, 2018 (2018), 1  crossref
    13. A. I. Parfenov, “Series in a Lipschitz perturbation of the boundary for solving the Dirichlet problem”, Siberian Adv. Math., 27:4 (2017), 274–304  mathnet  crossref  crossref  elib
    14. O. V. Lopushans'kyi, S. V. Sharyn, “Application of the Laplace Transform of Tempered Distributions to the Construction of Functional Calculus”, Ukr Math J, 67:11 (2016), 1687  crossref
    15. M. Gorbachuk, V. Gorbachuk, “On extensions and restrictions of semigroups of linear operators in a Banach space and their applications”, Math. Nachr, 2012, n/a  crossref
    16. Marat V. Markin, Modern Analysis and Applications, 2009, 407  crossref
    17. A. N. Kochubei, “Distributed-order calculus: An operator-theoretic interpretation”, Ukr Math J, 60:4 (2008), 551  crossref  mathscinet  zmath  isi
    18. M. V. Markin, “On scalar-type spectral operators and Carleman ultradifferentiable C 0-semigroups”, Ukr Math J, 60:9 (2008), 1418  crossref  mathscinet  isi
    19. A. M. Gomilko, “On the Inverse of the Generator of a Bounded C0-Semigroup”, Funct. Anal. Appl., 38:4 (2004), 243–248  mathnet  crossref  crossref  mathscinet  zmath  isi
    20. M. L. Gorbachuk, Yu. G. Mokrousov, “Conditions for Subspaces of Analytic Vectors of a Closed Operator in a Banach Space to Be Dense”, Funct. Anal. Appl., 35:1 (2001), 64–66  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    References:113
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