Abstract
We study the problem of constructing the asymptotics of solutions to a boundary value problem for the hyperbolic equation with holomorphic coefficients depending on the time parameter t in the space of functions of exponential growth. In addition, sufficient conditions are established for the convergence of asymptotic series contained in the asymptotics of solutions of the boundary value problem in a neighborhood of infinity.
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Korovina, M.V., Matevossian, H.A. & Smirnov, I.N. On the Asymptotics of Solutions of a Boundary Value Problem for the Hyperbolic Equation (at \(\boldsymbol{t\to\infty}\)). Lobachevskii J Math 42, 3684–3695 (2021). https://doi.org/10.1134/S1995080222030143
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DOI: https://doi.org/10.1134/S1995080222030143