**L. Polák**

## Oscillation and
Nonoscillation Criteria for Two-Dimensional Systems of Linear Ordinary
Differential Equations

**Abstract:**

Sufficient conditions are established for the oscillation and nonoscillation of
the system

$$

u'= q(t)v, \quad v'= -p(t)u,

$$

where $p,q : [0,+ \infty[\to ]-\infty,+\infty[$ are

locally summable functions, $q(t)\geq 0$ for $t\geq 0$, and $\int\limits_0^{+\infty}
q(s)ds=+\infty$.

**Keywords:**

Two-dimensional systems of linear ODE, oscillation and nonoscillation.

**MSC 2000:** 34C10.