Geodesic
Comparison theorems for the third order trinomial differential equations with delay argument
Czechoslovak Mathematical Journal, Tome 59 (2009) no. 2, pp. 353-370.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

In this paper we study asymptotic properties of the third order trinomial delay differential equation $$ y'''(t)-p(t)y'(t)+g(t)y(\tau (t))= 0 $$ by transforming this equation to the binomial canonical equation. The results obtained essentially improve known results in the literature. On the other hand, the set of comparison principles obtained permits to extend immediately asymptotic criteria from ordinary to delay equations.
Classification : 34C10
Keywords: comparison theorem; property (A); canonical operator 
@article{CMJ_2009__59_2_a5,
     author = {D\v{z}urina, Jozef and Kotorov\'a, Ren\'ata},
     title = {Comparison theorems for the third order trinomial differential equations with delay argument},
     journal = {Czechoslovak Mathematical Journal},
     pages = {353--370},
     publisher = {mathdoc},
     volume = {59},
     number = {2},
     year = {2009},
     mrnumber = {2532381},
     zbl = {1224.34251},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMJ_2009__59_2_a5/}
}
TY  - JOUR
AU  - Džurina, Jozef
AU  - Kotorová, Renáta
TI  - Comparison theorems for the third order trinomial differential equations with delay argument
JO  - Czechoslovak Mathematical Journal
PY  - 2009
SP  - 353
EP  - 370
VL  - 59
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/CMJ_2009__59_2_a5/
LA  - en
ID  - CMJ_2009__59_2_a5
ER  - 
%0 Journal Article
%A Džurina, Jozef
%A Kotorová, Renáta
%T Comparison theorems for the third order trinomial differential equations with delay argument
%J Czechoslovak Mathematical Journal
%D 2009
%P 353-370
%V 59
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/CMJ_2009__59_2_a5/
%G en
%F CMJ_2009__59_2_a5
Džurina, Jozef; Kotorová, Renáta. Comparison theorems for the third order trinomial differential equations with delay argument. Czechoslovak Mathematical Journal, Tome 59 (2009) no. 2, pp. 353-370. http://geodesic.mathdoc.fr/item/CMJ_2009__59_2_a5/