We establish conditions for the existence of solutions vanishing at a singular point for various classes of systems of quasilinear differential equations appearing in the investigation of the asymptotic behavior of solutions of essentially nonlinear nonautonomous differential equations of higher orders.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 62, No. 1, pp. 52–80, January, 2010.
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Evtukhov, V.M., Samoilenko, A.M. Conditions for the existence of solutions of real nonautonomous systems of quasilinear differential equations vanishing at a singular point. Ukr Math J 62, 56–86 (2010). https://doi.org/10.1007/s11253-010-0333-7
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DOI: https://doi.org/10.1007/s11253-010-0333-7