MR2108671 Mustafa, Octavian G. and Rogovchenko, Yuri V. Octavian G. MUSTAFA and Yuri V. ROGOVCHENKO Global Existence and Asymptotic Behavior of Solutions of Nonlinear Differential Equations Funkcialaj Ekvacioj. Serio Internacia 47 2004 167--186 http://fe.math.kobe-u.ac.jp/FE/FullPapers/47-2/47_167.pdf http://www.ams.org/mathscinet-getitem?mr=MR2108671 The paper addresses two open problems related to global existence of solutions with a "linear-like" behavior at infinity. For a class of second-order nonlinear differential equations, we establish global existence of solutions under milder assumption on the rate of decay of the coefficient. Furthermore, as opposed to results reported in the literature, we prove for another class of second-order nonlinear differential equations that the region of the initial data for the solutions with desired asymptotic behavior is unbounded and proper. Nonlinear differential equation, Second order, Global existence, Nonoscillatory solutions, Asymptotic behavior, Linear-like behavior at infinity, Radial solutions, Nonlinear elliptic equations. Primary 34D05; Secondary 34A12, 34A34. 47-167 2004 Global Existence and Asymptotic Behavior of Solutions of Nonlinear Differential Equations MUSTAFA, Octavian G. and ROGOVCHENKO, Yuri V. Octavian G. MUSTAFA and Yuri V. ROGOVCHENKO
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