On Properties of Third-Order Differential Equations via Comparison Principles

الملخص EN

The objective of this paper is to offer sufficient conditions for certain asymptotic properties of the third-order functional differential equation [r(t)[x′(t)]γ]′′+p(t)x(τ(t))=0, where studied equation is in a canonical form, that is, ∫∞r-1/γ(s)ds=∞.

Employing Trench theory of canonical operators, we deduce properties of the studied equations via new comparison theorems.

The results obtained essentially improve and complement earlier ones.