A remark on the oscillation of ordinary second order nonlinear differential equations
J. Detki (1981)
Matematički Vesnik
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J. Detki (1981)
Matematički Vesnik
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Nurten Kiliç, Özkan Öcalan, Mustafa Kemal Yildiz (2024)
Archivum Mathematicum
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This paper deals with the oscillatory solutions of the first order nonlinear advanced differential equation. The aim of the present paper is to obtain an oscillation condition for this equation. This result is new and improves and correlates many of the well-known oscillation criteria that were in the literature. Finally, an example is given to illustrate the main result.
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...
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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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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George E. Chatzarakis, Julio G. Dix (2018)
Mathematica Bohemica
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This paper is concerned with the oscillatory behavior of first-order nonlinear difference equations with variable deviating arguments. The corresponding difference equations of both retarded and advanced type are studied. Examples illustrating the results are also given.