# Oscillation and Nonoscillation Criteria for Two-dimensional Systems of First Order Linear Ordinary Differential Equations

```@inproceedings{Lomtatidze2002OscillationAN,
title={Oscillation and Nonoscillation Criteria for Two-dimensional Systems of First Order Linear Ordinary Differential Equations},
author={A. Lomtatidze and N. PARTSVANIA},
year={2002}
}```
Sufficient conditions are established for the oscillation and nonoscillation of the system u′ = p(t)v , v′ = −q(t)u , where p, q : [0, +∞[→ [0, +∞[ are locally summable functions. § 1. Statement of the Problem and Formulation of the Main Results Consider the system u′ = p(t)v , v′ = −q(t)u , (1) where p, q : [0, +∞[→ [0,+∞[ are locally summable functions. Under a solution of system (1) is understood a vector-function (u, v) : [0, +∞[→ ] − ∞, +∞[ with locally absolutely continuous components… CONTINUE READING

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