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On the asymptotic solutions for a class of second order differential equations with slowly varying coefficients

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Abstract

In this paper we study the asymptotic expansions of the solutions for a class of second order ordinary differential equations with slowly varying coefficients. The defect of the known works on these problems is noted, and the results in [1–4] are improved and extended by means of the modified method of multiple scales.

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References

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Communicated by Jiang Fu-ru

The Project Supported by the National Natural Science Foundation of China

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Zong-chun, Q. On the asymptotic solutions for a class of second order differential equations with slowly varying coefficients. Appl Math Mech 12, 697–704 (1991). https://doi.org/10.1007/BF02018951

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  • DOI: https://doi.org/10.1007/BF02018951

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