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 \(p(t)\sim a/t^n.\)

Keywords

• higher order differential equations
• mixed argument
• monotonic properties
• oscillation