Abstract
We propose and justify a new method of solving differential equations with small parameter a method that fulfills the requirements of the problems of celestial mechanics. In contrast to the classical power-series method the proposed method converges rapidly. We discuss new formulations of problems and the promise of the method.
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Translated fromMatematichni Metodi ta Fiziko-Mekhanichni Polya, Vol. 39, No. 2, 1996, pp. 20–27
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Skorobogat'ko, V.Y. A rapid method of solving differential equations with a small parameter. J Math Sci 90, 2334–2340 (1998). https://doi.org/10.1007/BF02433962
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DOI: https://doi.org/10.1007/BF02433962