Abstract
Using a modified method of boundary-layer functions, we construct a complete uniform asymptotic solution of the singularly perturbed Cauchy problem for a second-order, linear, inhomogeneous, ordinary differential equation with a multiple turning point on the real axis.
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Translated from Itogi Nauki i Tekhniki, Seriya Sovremennaya Matematika i Ee Prilozheniya. Tematicheskie Obzory, Vol. 156, Mathematical Analysis, 2018.
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Tursunov, D.A., Kozhobekov, K.G. Asymptotic Solution of a Singularly Perturbed Cauchy Problem with a Turning Point. J Math Sci 254, 788–792 (2021). https://doi.org/10.1007/s10958-021-05340-3
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DOI: https://doi.org/10.1007/s10958-021-05340-3
Keywords and phrases
- asymptotics
- boundary-layer function
- Cauchy problem
- bisingular problem
- turning point
- generalized method of boundary-layer functions
- singular perturbation