EUDML

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 $lim_{t \to + \infty} τ (t) = + \infty$ , $lim_{t \to + \infty} σ (t) = + \infty$ .

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On a boundary value problem for a two-dimensional system of evolution functional differential equations.

On oscillation of solutions of second-order systems of deviated differential equations.

To the question of oscillation of solutions of two-dimensional differential systems with deviated arguments.

Oscillatory behaviour of solutions of two-dimensional differential systems with deviated arguments.

On nonnegative solutions of nonlinear two-point boundary value problems for two-dimensional differential systems with advanced arguments.

On the oscillation of solutions of two-dimensional linear differential systems with deviated arguments.

Oscillation and nonoscillation criteria for two-dimensional systems of first-order linear ordinary differential equations.

On oscillatory properties of second order systems of ordinary differential equations.

Criteria for oscillation of solutions of two-dimensional differential systems with deviating arguments.

On periodic solutions of higher-order functional differential equations.

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