Geodesic
On the matching of power-logarithmic asymptotic expansions of a solution to a singular Cauchy problem for a system of ordinary differential equations
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 19 (2013) no. 1, pp. 300-315 Cet article a éte moissonné depuis la source Math-Net.Ru

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For a singular initial value problem with one small parameter, various powers of which are coefficients at higher derivatives in a system of ordinary differential equations, the possibility of passage between any two adjacent asymptotic layers within the method of matching asymptotic expansions is proved.
Keywords: asymptotic expansion, small parameter, matching method, singular Cauchy problem, system of ordinary differential equations. 
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O. Yu. Khachai. On the matching of power-logarithmic asymptotic expansions of a solution to a singular Cauchy problem for a system of ordinary differential equations. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 19 (2013) no. 1, pp. 300-315. http://geodesic.mathdoc.fr/item/TIMM_2013_19_1_a28/

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