Geodesic
Singular Cauchy problems for systems of ordinary differential equations
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 23 (1983) no. 3, pp. 629-645

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Cauchy problems are investigated for systems of nonlinear ordinary differential equations with initial conditions specified at a singular point. Existence and uniqueness theorems for the solution of singular Cauchy problems, and theorems on the asymptotic representation of the solutions in the neighbourhood of singular points are presented. 
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     author = {N. B. Konyukhova},
     title = {Singular {Cauchy} problems for systems of ordinary differential equations},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {629--645},
     publisher = {mathdoc},
     volume = {23},
     number = {3},
     year = {1983},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_3_a11/}
}
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N. B. Konyukhova. Singular Cauchy problems for systems of ordinary differential equations. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 23 (1983) no. 3, pp. 629-645. http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_3_a11/