Oscillation criteria for second order nonlinear perturbed differential equations.

Remili, M.

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Oscillation of second-order nonlinear differential equations with damping term.

Elabbasy, E.M., Elhaddad, W.W. (2007)

Electronic Journal of Qualitative Theory of Differential Equations [electronic only]

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Oscillation criteria for second order self-adjoint matrix differential equations

N. Parhi, P. Praharaj (1999)

Annales Polonici Mathematici

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Some results concerning oscillation of second order self-adjoint matrix differential equations are obtained. These may be regarded as a generalization of results for the corresponding scalar equations.

Asymptotic behaviour of solutions of two-dimensional linear differential systems with deviating arguments

Roman Koplatadze, N. L. Partsvania, Ioannis P. Stavroulakis (2003)

Archivum Mathematicum

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Sufficient conditions are established for the oscillation of proper solutions of the system $\begin{matrix} u_{1}^{'} (t) & = p (t) u_{2} (σ (t)), \\ u_{2}^{'} (t) & = - q (t) u_{1} (τ (t)), \end{matrix}$ where $p, q : R_{+} \to R_{+}$ are locally summable functions, while $τ$ and $σ : R_{+} \to R_{+}$ are continuous and continuously differentiable functions, respectively, and $lim_{t \to + \infty} τ (t) = + \infty$ , $lim_{t \to + \infty} σ (t) = + \infty$ .

A remark on the half-linear extension of the Hartman-Wintner theorem.

Došlý, Ondřej (1999)

Electronic Journal of Differential Equations (EJDE) [electronic only]

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Oscillation theorems for nonlinear differential equations of second order.

Manojlović, Jelena V. (2000)

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Oscillation criteria for second order superlinear neutral delay differential equations.

Saker, S.H., Manojlović, J.V. (2004)

Electronic Journal of Qualitative Theory of Differential Equations [electronic only]

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Oscillation and nonoscillation of Emden-Fowler type equations of second order

Alexander Lomtatidze (1996)

Archivum Mathematicum

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Oscillation and nonoscillation criteria are established for the equation $u^{''} + {p (t) | u |}^{α} {| u^{'} |}^{1 - α} sgn u = 0,$ where $α \in] 0, 1]$ , and $p : [0, + \infty [\to [0, + \infty [$ is a locally summable function.