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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2003, Volume 243, Pages 127–137 (Mi tm425)  
This article is cited in 13 scientific papers (total in 13 papers)

Correct Solvability of Hyperbolic-Type Equations with Delay in a Hilbert Space

V. V. Vlasova, K. I. Shmatovb

a M. V. Lomonosov Moscow State University
b Moscow Institute of Physics and Technology
Full-text PDF (201 kB) Citations (13)
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Abstract: Correct solvability in the scale of Sobolev spaces on the half-line is established for an initial value problem for one class of functional differential equations with unbounded operator-valued coefficients in a Hilbert space. The cases of constant and variable time delays are analyzed. The principal part of the equations under study is an abstract hyperbolic equation in a Hilbert space.
Received in March 2003
Bibliographic databases:
UDC: 517.942
Language: Russian
Citation: V. V. Vlasov, K. I. Shmatov, “Correct Solvability of Hyperbolic-Type Equations with Delay in a Hilbert Space”, Function spaces, approximations, and differential equations, Collected papers. Dedicated to the 70th birthday of Oleg Vladimirovich Besov, corresponding member of RAS, Trudy Mat. Inst. Steklova, 243, Nauka, MAIK «Nauka/Inteperiodika», M., 2003, 127–137; Proc. Steklov Inst. Math., 243 (2003), 120–130
Citation in format AMSBIB
\Bibitem{VlaShm03}
\by V.~V.~Vlasov, K.~I.~Shmatov
\paper Correct Solvability of Hyperbolic-Type Equations with Delay in a~Hilbert Space
\inbook Function spaces, approximations, and differential equations
\bookinfo Collected papers. Dedicated to the 70th birthday of Oleg Vladimirovich Besov, corresponding member of RAS
\serial Trudy Mat. Inst. Steklova
\yr 2003
\vol 243
\pages 127--137
\publ Nauka, MAIK «Nauka/Inteperiodika»
\publaddr M.
\mathnet{http://mi.mathnet.ru/tm425}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2049467}
\zmath{https://zbmath.org/?q=an:1079.35098}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2003
\vol 243
\pages 120--130
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    • This publication is cited in the following 13 articles:
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