Existence of a Non-Oscillating solution for a Second Order Nonlinear ODE
F.V. Atkinson, On second order nonlinear oscillation, Pacific J. Math. 5 (1955), 643–647.
C. Avramescu, Sur l’existence convergentes de systemes d’equations differentielles nonlineaires, Ann. Mat. Pura. Appl. 81 (1969), 147–168.
Ch. G. Philos, I.K. Purnaras and P.Ch. Tsamatos, Asymptotic to polynomial solutions for nonlinear differential equations, Nonlinear Analysis 59 (2004), 1157–1179.
S. Dube and B. Mingarelli, Note on a non-oscillation theorem of Atkinson, Electronic Journal of Differential Equations Vol. 2004(2004), No. 22, 1–6.
G.J. Butler, On the non-oscillatory behavior of a second order nonlinear differential equation, Annali Mat. Pura Appl. 105 (4) (1975), 73–92.
S. Belohorec, Oscillatory solutions of certain nonlinear differential equations of the second order, Math-Fyz. Casopis Sloven. Acad. Vied. 11 (1961), 250–255.
I.T. Kiguradze, A note on the oscillation of solution of the equation (u''+a(t)|u|^n sgnu=0), Casopis Pest. Mat. 92 (1967), 343–350.
James. S. W. Wong, Oscillation criteria for second order nonlinear differential equations with integrable coefficients, Proc. Amer. Math. Soc. 115 (2) (1992), 389–395.
J.A. Hempel, A nonoscillation theorem for the first variation and applications, Journal of Differential Equations 24 (1977), 226–234.
T. Ertem and A. Zafer, Asymptotic integration of second order nonlinear differential equations via principal and nonprincipal solutions, Applied Mathematics and Computation 219 (2013), 5876–5886.
R.P. Agarwal, S. Djebali, T. Moussaoui and O.G. Mustafa, On the asymptotic integration of nonlinear differential equations, Journal of Computational and Applied Mathematics 202 (2007), 352–376.
E. Wahlen, Positive solutions of second order differential equations, Nonlinear Analysis 58 (2004), 359–366.
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