Some remarks on a recent third order nonlinear oscillation result
G. G. Hamedani (1985)
Časopis pro pěstování matematiky
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G. G. Hamedani (1985)
Časopis pro pěstování matematiky
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Mirzov, J.D. (1998)
Memoirs on Differential Equations and Mathematical Physics
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Hassan, Taher S. (2008)
Serdica Mathematical Journal
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2000 Mathematics Subject Classification: 34C10, 34C15. It is the purpose of this paper to give oscillation criteria for the second order nonlinear differential equation with a damping term (a(t) y′(t))′ + p(t)y′(t) + q(t) |y(t)| α−1 y(t) = 0, t ≥ t0, where α ≥ 1, a ∈ C1([t0,∞);(0,∞)) and p,q ∈ C([t0,∞);R). Our results here are different, generalize and improve some known results for oscillation of second order nonlinear differential equations that are different from most...
Jozef Džurina (2004)
Mathematica Slovaca
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Grace, S.R., Lalli, B.S. (1987)
International Journal of Mathematics and Mathematical Sciences
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Said R. Grace, Bikkar S. Lalli (1989)
Commentationes Mathematicae Universitatis Carolinae
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Wantong Li (1997)
Annales Polonici Mathematici
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A class of neutral nonlinear differential equations is studied. Various classifications of their eventually positive solutions are given. Necessary and/or sufficient conditions are then derived for the existence of these eventually positive solutions. The derivations are based on two fixed point theorems as well as the method of successive approximations.