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Keywords:
two-dimensional differential system; proper solution; oscillatory system
two-dimensional differential system; proper solution; oscillatory system
Summary:
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 $.
References:
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