TY - JOUR A2 - Corda, Christian AU - Baculíková, B. AU - Džurina, J. PY - 2012 DA - 2012/07/26 TI - On Properties of Third-Order Differential Equations via Comparison Principles SP - 975298 VL - 2012 AB - 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. SN - 0161-1712 UR - https://doi.org/10.1155/2012/975298 DO - 10.1155/2012/975298 JF - International Journal of Mathematics and Mathematical Sciences PB - Hindawi Publishing Corporation KW - ER -