Oscillation properties of nonlinear neutral differential equations of th order.
Candan, T., Dahiya, R.S. (2004)
International Journal of Mathematics and Mathematical Sciences
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Candan, T., Dahiya, R.S. (2004)
International Journal of Mathematics and Mathematical Sciences
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Tongxing Li, Yuriy V. Rogovchenko, Chenghui Zhang (2015)
Mathematica Bohemica
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We study oscillatory behavior of a class of fourth-order quasilinear differential equations without imposing restrictive conditions on the deviated argument. This allows applications to functional differential equations with delayed and advanced arguments, and not only these. New theorems are based on a thorough analysis of possible behavior of nonoscillatory solutions; they complement and improve a number of results reported in the literature. Three illustrative examples are presented. ...
Manabu Naito (2025)
Archivum Mathematicum
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It is shown that oscillation of perturbed second order half-linear differential equations can be derived from oscillation of second order linear differential equations associated with modified Riccati equations. In the main result of the present paper, some of technical assumptions in the known results of this type are removed.
Hishyar, Abdullah Kh., Al Dosary, K.T. (2003)
APPS. Applied Sciences
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Partsvania, N. (1997)
Memoirs on Differential Equations and Mathematical Physics
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Koplatadze, R., Partsvania, N. (1998)
Memoirs on Differential Equations and Mathematical Physics
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Liu, Wei-Ling, Li, Horng-Jaan (1996)
Journal of Applied Analysis
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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...
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.
Jozef Džurina (2001)
Mathematica Slovaca
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