On functional integrability of solutions of differential equations with deviating argument

Vincent Šoltés; Anna Hrubinová

Comparison theorem for third-order differential equations

Jozef Džurina (1994)

Czechoslovak Mathematical Journal

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

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Comparison theorem for third-order differential equations

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