Geodesic
Comparison theorems for the third order trinomial differential equations with delay argument
Czechoslovak Mathematical Journal, Tome 59 (2009) no. 2, pp. 353-370 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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 
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     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},
     year = {2009},
     volume = {59},
     number = {2},
     mrnumber = {2532381},
     zbl = {1224.34251},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMJ_2009_59_2_a5/}
}
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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/