Integration of singularly perturbed second order differential equations by double series
DOI:
https://doi.org/10.15587/2313-8416.2017.118874Keywords:
differential equation, double series, small parameter, formal solutions, asymptotic solutionsAbstract
A short historical analysis of the problem of constructing asymptotic solutions of linear differential equations and systems with a small parameter is presented. The method of integrating singularly perturbed differential equations of the second order by double series is developed. This approach is based on the construction of the investigated equation to the corresponding singularly perturbed linear system of differential equations. The advantages of applying the theory of double series are emphasized
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Copyright (c) 2017 Olena Chornenka, Anastasia Gusak
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