Abstract
In the present (second) part of the paper, we study the asymptotic behavior of the solution of the Cauchy problem for a nonhomogeneous wave equation and also consider (instead of the wave equation) an equation with added fourth derivatives containing a small parameter, i.e., include the effects of weak dispersion.
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The research was supported by RFBR grant no. 08-01-00726 and by the scientific agreement between the Department of Physics of the University of Rome “La Sapienza“ and the A. Ishlinski Institute for Problems in Mechanics of Russian Academy of Sciences, Moscow.
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Bianchi, D., Dobrokhotov, S.Y. & Tirozzi, B. Asymptotics of localized solutions of the one-dimensional wave equation with variable velocity. II. Taking into account a source on the right-hand side and a weak dispersion. Russ. J. Math. Phys. 15, 427–446 (2008). https://doi.org/10.1134/S1061920808040018
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DOI: https://doi.org/10.1134/S1061920808040018