Properties of even order linear functional differential equations with deviating arguments of mixed type

Abstract

This paper is concerned with oscillatory behavior of linear functional differential equations of the type $y^{(n)}(t)=p(t)y(\tau(t))$ with mixed deviating arguments which means that its both delayed and advanced parts are unbounded subset of $(0,\infty)$. Our attention is oriented to the Euler type of equation, i.e. when $p(t)\sim a/t^n.$