Comparison theorems for the third order trinomial differential equations with delay argument

Džurina, Jozef   ; Kotorová, Renáta

Czechoslovak Mathematical Journal, Tome 59 (2009) no. 2, pp. 353-370

Abstract (VO)

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.

Détail

Classification : 34C10
Keywords: comparison theorem; property (A); canonical operator

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