Abstract
For a nonautonomous wave equation with homogeneous boundary conditions, we construct one-frequency approximations of asymptotic solutions by using periodic Ateb-functions. Resonance and nonresonance cases are considered.
References
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 47, No. 12, pp. 1714–1716, December, 1995.
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Sokil, B.I. On the construction of asymptotic approximations for a nonautonomous wave equation. Ukr Math J 47, 1960–1963 (1995). https://doi.org/10.1007/BF01060972
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DOI: https://doi.org/10.1007/BF01060972