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

Jozef Džurina; Renáta Kotorová

Czechoslovak Mathematical Journal (2009)

  • Volume: 59, Issue: 2, page 353-370
  • ISSN: 0011-4642

Abstract

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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 ( τ ( 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.

How to cite

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Džurina, Jozef, and Kotorová, Renáta. "Comparison theorems for the third order trinomial differential equations with delay argument." Czechoslovak Mathematical Journal 59.2 (2009): 353-370. <http://eudml.org/doc/37928>.

@article{Džurina2009,
abstract = {In this paper we study asymptotic properties of the third order trinomial delay differential equation \[ y^\{\prime \prime \prime \}(t)-p(t)y^\{\prime \}(t)+g(t)y(\tau (t))= 0 \] 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.},
author = {Džurina, Jozef, Kotorová, Renáta},
journal = {Czechoslovak Mathematical Journal},
keywords = {comparison theorem; property (A); canonical operator; comparison theorem; property (A); canonical operator},
language = {eng},
number = {2},
pages = {353-370},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Comparison theorems for the third order trinomial differential equations with delay argument},
url = {http://eudml.org/doc/37928},
volume = {59},
year = {2009},
}

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
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 59
IS - 2
SP - 353
EP - 370
AB - In this paper we study asymptotic properties of the third order trinomial delay differential equation \[ y^{\prime \prime \prime }(t)-p(t)y^{\prime }(t)+g(t)y(\tau (t))= 0 \] 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.
LA - eng
KW - comparison theorem; property (A); canonical operator; comparison theorem; property (A); canonical operator
UR - http://eudml.org/doc/37928
ER -

References

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