Abstract
By using the method of asymptotic expansion of an m-parameter family of solutions, we obtain the asymptotic expansion of solutions of a quasilinear system of differential equations.
References
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Yu. A. Mitropol’skii and A. M. Samoilenko, “On asymptotic integration of weakly nonlinear systems,” Ukr. Mat. Zk., 28, No. 4, 483–500 (1976).
A. M. Samoilenko, Elements of the Mathematical Theory of Multifrequency Oscillations [in Russian], Nauka, Moscow (1987).
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 50, No. 3, pp. 445–450, March, 1998.
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Él’nazarov, A.A. A method of asymptotic expansion of an m-parameter family of solutions for a quasilinear system of differential equations. Ukr Math J 50, 507–513 (1998). https://doi.org/10.1007/BF02528817
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DOI: https://doi.org/10.1007/BF02528817