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Literature cited
A. F. Andreev, “An exceptional direction of an n-th-order system at a stationary point,” Differents. Uravn.,10, No. 2, 187–194 (1974).
N. A. Bodunov, “Manifolds of O-curves of multidimensional systems,” Differents. Uravn.,11, No. 4, 758–759 (1975).
S. K. Norkin, “The dimension of a set covered by integral curves near a singular point of a multidimensional system,” Ukr. Mat. Zh.,30, No. 4, 563–569 (1973).
S. K. Norkin, “Asymptotic estimate of O-solutions of a multidimensional system,” Differents. Uravn.,14, No. 11, 2079–2081 (1978).
S. K. Norkin, “Asymptotic funnel for a local integral O-manifold,” Dokl. Akad. Nauk SSSR,279, No. 6, 1323–1326 (1984).
S. K. Norkin, “Asymptotics of solutions that cover an integral O-set of a nonlinear system,” Ukr. Mat. Zh.,36, No. 5, 636–641 (1984).
P. Hartman, Ordinary Differential Equations, S. M. Hartmann.
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Translated from Ukrainskii Matematicheskii Zhurnal, Vo1. 38, No. 6, pp. 744–750, November–December, 1986.
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Norkin, S.K. The asymptotics and the structure of the integral O-Set of a system from a lipschitz class for a scalar product. Ukr Math J 38, 627–632 (1986). https://doi.org/10.1007/BF01056648
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DOI: https://doi.org/10.1007/BF01056648