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 -