Asymptotic properties of trinomial delay differential equations

Jozef Džurina; Renáta Kotorová

Archivum Mathematicum (2008)

  • Volume: 044, Issue: 2, page 149-158
  • ISSN: 0044-8753

Abstract

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The aim of this paper is to study asymptotic properties of the solutions of the third order delay differential equation 1 r ( t ) y ' ( t ) ' ' - p ( t ) y ' ( t ) + g ( t ) y ( τ ( t ) ) = 0 . * Using suitable comparison theorem we study properties of Eq. () with help of the oscillation of the second order differential equation.

How to cite

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Džurina, Jozef, and Kotorová, Renáta. "Asymptotic properties of trinomial delay differential equations." Archivum Mathematicum 044.2 (2008): 149-158. <http://eudml.org/doc/250440>.

@article{Džurina2008,
abstract = {The aim of this paper is to study asymptotic properties of the solutions of the third order delay differential equation \[ \Big (\frac\{1\}\{r(t)\}\,y^\{\prime \}(t)\Big )^\{\prime \prime \}-p(t)\,y^\{\prime \}(t)+g(t)\,y\big (\tau (t)\big )= 0\,.\ast \] Using suitable comparison theorem we study properties of Eq. () with help of the oscillation of the second order differential equation.},
author = {Džurina, Jozef, Kotorová, Renáta},
journal = {Archivum Mathematicum},
keywords = {oscillation; property(A); delay argument; oscillation},
language = {eng},
number = {2},
pages = {149-158},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Asymptotic properties of trinomial delay differential equations},
url = {http://eudml.org/doc/250440},
volume = {044},
year = {2008},
}

TY - JOUR
AU - Džurina, Jozef
AU - Kotorová, Renáta
TI - Asymptotic properties of trinomial delay differential equations
JO - Archivum Mathematicum
PY - 2008
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 044
IS - 2
SP - 149
EP - 158
AB - The aim of this paper is to study asymptotic properties of the solutions of the third order delay differential equation \[ \Big (\frac{1}{r(t)}\,y^{\prime }(t)\Big )^{\prime \prime }-p(t)\,y^{\prime }(t)+g(t)\,y\big (\tau (t)\big )= 0\,.\ast \] Using suitable comparison theorem we study properties of Eq. () with help of the oscillation of the second order differential equation.
LA - eng
KW - oscillation; property(A); delay argument; oscillation
UR - http://eudml.org/doc/250440
ER -

References

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