Sufficient conditions are established for the oscillation of proper solutions of the system \begin{align} u_1^{\prime }(t) & =p(t)u_2(\sigma (t))\,, \\ u_2^{\prime }(t) & =-q(t)u_1(\tau (t))\,, \end{align} where $p,\,q: R_{+}\rightarrow R_{+}$ are locally summable functions, while $\tau $ and $\sigma : R_{+}\rightarrow R_{+}$ are continuous and continuously differentiable functions, respectively, and $\lim \limits _{t\rightarrow +\infty } \tau (t)=+\infty $, $\lim \limits _{t\rightarrow +\infty } \sigma (t)=+\infty $.
@article{107869,
author = {Roman Koplatadze and N. L. Partsvania and Ioannis P. Stavroulakis},
title = {Asymptotic behaviour of solutions of two-dimensional linear differential systems with deviating arguments},
journal = {Archivum Mathematicum},
volume = {039},
year = {2003},
pages = {213-232},
zbl = {1116.34331},
mrnumber = {2010723},
language = {en},
url = {http://dml.mathdoc.fr/item/107869}
}
Koplatadze, Roman; Partsvania, N. L.; Stavroulakis, Ioannis P. Asymptotic behaviour of solutions of two-dimensional linear differential systems with deviating arguments. Archivum Mathematicum, Tome 039 (2003) pp. 213-232. http://gdmltest.u-ga.fr/item/107869/
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