Regular perturbation of ordinary differential equations

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Abstract

In this chapter we find asymptotic solutions of regularly perturbed equations and systems of equations, to which problems in mechanics are reduced. We consider Cauchy problems, problems for periodic solutions and boundary value problems.

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Bauer, S. M., Filippov, S. B., Smirnov, A. L., Tovstik, P. E., & Vaillancourt, R. (2015). Regular perturbation of ordinary differential equations. In International Series of Numerical Mathematics (Vol. 167, pp. 89–153). Springer. https://doi.org/10.1007/978-3-319-18311-4_3

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