Riccati integral equations and non-oscillation of self-adjoint linear systems (Q1088825)

A differential system of the form \(u''+p(t)u=0\) on [\(\alpha\),\(\infty)\) is considered, where p is an \(n\times n\) Hermitian matrix valued function, the components of which are locally integrable. The purpose of this paper is to show that the work of Wong for scalar differential equations can be extended for the discussion of the oscillatory behavior of solutions of this system. An example is considered which presents a situation in which the given theorems are applicable.