A. V. Vestyak, H. A. Matevossian, “Behavior of the Solution of the Cauchy Problem for a Hyperbolic Equation with Periodic Coefficients”, Mat. Zametki, 100:5 (2016), 766–769; Math. Notes, 100:5 (2016), 751

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Matematicheskie Zametki, 2016, Volume 100, Issue 5, Pages 766–769
DOI: https://doi.org/10.4213/mzm11375 (Mi mzm11375)

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

Brief Communications

Behavior of the Solution of the Cauchy Problem for a Hyperbolic Equation with Periodic Coefficients

A. V. Vestyak, H. A. Matevossian

Moscow Aviation Institute (National Research University)

Full-text PDF (283 kB) Citations (12)

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DOI: https://doi.org/10.4213/mzm11375

Keywords: hyperbolic equation, periodic coefficients, Cauchy problem, asymptotics.

English version:
Mathematical Notes, 2016, Volume 100, Issue 5, Pages 751–754
DOI: https://doi.org/10.1134/S0001434616110134

Bibliographic databases:

Document Type: Article

Language: Russian

Citation: A. V. Vestyak, H. A. Matevossian, “Behavior of the Solution of the Cauchy Problem for a Hyperbolic Equation with Periodic Coefficients”, Mat. Zametki, 100:5 (2016), 766–769; Math. Notes, 100:5 (2016), 751–754

Citation in format AMSBIB

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Linking options:

https://www.mathnet.ru/eng/mzm11375

https://doi.org/10.4213/mzm11375

https://www.mathnet.ru/eng/mzm/v100/i5/p766

This publication is cited in the following 12 articles:

A. M. Ishkhanyan, H. A. Matevossian, “On the Behavior of Solutions of the Cauchy Problem for a Hyperbolic Equation with Periodic Coefficients. The Principle of the Limiting Amplitude”, Lobachevskii J Math, 45:8 (2024), 3548
Hovik Matevossian, Vladimir Smirnov, “Behavior as t → ∞ of Solutions of a Mixed Problem for a Hyperbolic Equation with Periodic Coefficients on the Semi-Axis”, Symmetry, 15:3 (2023), 777
H. A. Matevossian, G. Nordo, “Asymptotic Behavior of Solutions of the Initial Boundary Value Problem for a Hyperbolic Equation with Periodic Coefficients on the Semi-Axis”, Lobachevskii J Math, 44:6 (2023), 2398
Alexander Orekhov, Lev Rabinskiy, Gregory Fedotenkov, “Analytical Model of Heating an Isotropic Half-Space by a Moving Laser Source with a Gaussian Distribution”, Symmetry, 14:4 (2022), 650
Hovik A. Matevossian, Maria V. Korovina, Vladimir A. Vestyak, “Asymptotic Behavior of Solutions of the Cauchy Problem for a Hyperbolic Equation with Periodic Coefficients (Case: H0 > 0)”, Mathematics, 10:16 (2022), 2963
Hovik A. Matevossian, Maria V. Korovina, Vladimir A. Vestyak, “Asymptotic Behavior of Solutions of the Cauchy Problem for a Hyperbolic Equation with Periodic Coefficients II”, Axioms, 11:9 (2022), 473
M. V. Korovina, H. Matevossian, I. N. Smirnov, “On the Asymptotics of Solutions of the Wave Operator with Meromorphic Coefficients”, Math. Notes, 109:2 (2021), 312–316
O. N. Peshcherikova, G. V. Fedotenkov, “Influence of a nonstationary surface load on elastic porous half-space”, J. Math. Sci. (N. Y.), 257:1 (2021), 105–113
D. A. Zakora, “Exponential Stability of a Certain Semigroup and Applications”, Math. Notes, 103:5 (2018), 745–760
H. A. Matevossian, A. V. Vestyak, O. N. Peshcherikova, “On the Behavior of Solutions of Initial Boundary-Value Problems for a Hyperbolic Equation with Periodic Coefficients”, Math. Notes, 104:5 (2018), 762–766
A. V. Vestyak, H. A. Matevossian, “On the Behavior of the Solution of the Cauchy Problem for an Inhomogeneous Hyperbolic Equation with Periodic Coefficients”, Math. Notes, 102:3 (2017), 424–428
H. A. Matevossian, A. V. Vestyak, “Behavior of the solution of the Cauchy problem for an inhomogeneous hyperbolic equation with periodic coefficients”, 6Th International Conference on Mathematical Modelling in Physical Sciences (Ic-Msquare 2017), Journal of Physics Conference Series, 936, IOP Publishing Ltd, 2017, UNSP 012097

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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