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On the application of Ateb-functions to the construction of a solution of a nonlinear Klein-Gordon equation

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Abstract

For a nonlinear Klein-Gordon equation, we construct the first approximation of an asymptotic solution by using Ateb-functions. The resonance and nonresonance cases are considered.

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“L’vivs’ka Politeknika” University, Lviv. Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 49, No. 6, pp. 872–877, June, 1997.

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Sokil, B.I. On the application of Ateb-functions to the construction of a solution of a nonlinear Klein-Gordon equation. Ukr Math J 49, 976–983 (1997). https://doi.org/10.1007/BF02513441

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  • DOI: https://doi.org/10.1007/BF02513441

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