Asymptotic behaviour of solutions of delay differential equations of n -th order

N. Parhi; Seshadev Padhi

Archivum Mathematicum (2001)

  • Volume: 037, Issue: 2, page 81-101
  • ISSN: 0044-8753

Abstract

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This paper deals with property A and B of a class of canonical linear homogeneous delay differential equations of n -th order.

How to cite

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Parhi, N., and Padhi, Seshadev. "Asymptotic behaviour of solutions of delay differential equations of $n$-th order." Archivum Mathematicum 037.2 (2001): 81-101. <http://eudml.org/doc/248747>.

@article{Parhi2001,
abstract = {This paper deals with property A and B of a class of canonical linear homogeneous delay differential equations of $n$-th order.},
author = {Parhi, N., Padhi, Seshadev},
journal = {Archivum Mathematicum},
keywords = {oscillation; nonoscillation; delay-differential equation; asymptotic behaviour; oscillation; nonoscillation; delay-differential equation; asymptotic behaviour},
language = {eng},
number = {2},
pages = {81-101},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Asymptotic behaviour of solutions of delay differential equations of $n$-th order},
url = {http://eudml.org/doc/248747},
volume = {037},
year = {2001},
}

TY - JOUR
AU - Parhi, N.
AU - Padhi, Seshadev
TI - Asymptotic behaviour of solutions of delay differential equations of $n$-th order
JO - Archivum Mathematicum
PY - 2001
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 037
IS - 2
SP - 81
EP - 101
AB - This paper deals with property A and B of a class of canonical linear homogeneous delay differential equations of $n$-th order.
LA - eng
KW - oscillation; nonoscillation; delay-differential equation; asymptotic behaviour; oscillation; nonoscillation; delay-differential equation; asymptotic behaviour
UR - http://eudml.org/doc/248747
ER -

References

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  1. A comparison theorem for linear delay-differential equations, Arch. Math. (Brno) 31 (1995), 113–120. Zbl0841.34071MR1357979
  2. Asymptotic properties of n -th order differential equations, Math. Nachr. 171 (1995), 149–156. Zbl0817.34039MR1316355
  3. Nonoscillation theorems for differential equations with general deviating arguments, Lecture Notes in Math. #1032, 224–239, Springer, Berlin. MR0742641
  4. Oscillation Theory of Delay Differential Equations, Clarendon Press, Oxford, 1991. MR1168471
  5. On the oscillation of solutions of the equation d m u / d t m + a ( t ) | u | n sign u = 0 , Mat. Sb. 65 (1964), 172–187 (Russian). Zbl1004.34012MR0173060
  6. Comparison theorems for functional differential equations with deviating arguments, J. Math. Soc. Japan 3 (1981), 509–532. MR0620288
  7. Oscillatory and asymptotic behaviour of solutions of a class of linear ordinary differential equations, Proc. Roy. Soc. Edinburgh Sect. A 90 (1981), 25–40. MR0636062
  8. Oscillation Theory of Differential Equations with Deviating Arguments, Marcel Dekker, Inc. New York, 1987. MR1017244
  9. On asymptotic behaviour of delay differential equations of third order, Nonlinear Anal. TMA 34 (1998), 391–403. MR1635717
  10. Asymptotic behaviour of a class of third order delay differential equations, Math. Slovaca 50 (2000), 315–333. MR1775304
  11. Canonical forms and principal systems for general disconjugate equations, Trans. Amer. Math. Soc. 189 (1974), 319–327. Zbl0289.34051MR0330632

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