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Displaying similar documents to “New interval oscillation criteria for second-order functional differential equations with nonlinear damping”

Oscillation of fourth-order quasilinear differential equations

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. ...

Interval Oscillation for Second Order Nonlinear Differential Equations with a Damping Term

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...