Asymptotic behaviour of a class of third order delay-differential equations

N. Parhi; Seshadev Padhi

Mathematica Slovaca (2000)

  • Volume: 50, Issue: 3, page 315-333
  • ISSN: 0232-0525

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Parhi, N., and Padhi, Seshadev. "Asymptotic behaviour of a class of third order delay-differential equations." Mathematica Slovaca 50.3 (2000): 315-333. <http://eudml.org/doc/34517>.

@article{Parhi2000,
author = {Parhi, N., Padhi, Seshadev},
journal = {Mathematica Slovaca},
keywords = {oscillation; asymptotic behaviour; property (B)},
language = {eng},
number = {3},
pages = {315-333},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Asymptotic behaviour of a class of third order delay-differential equations},
url = {http://eudml.org/doc/34517},
volume = {50},
year = {2000},
}

TY - JOUR
AU - Parhi, N.
AU - Padhi, Seshadev
TI - Asymptotic behaviour of a class of third order delay-differential equations
JO - Mathematica Slovaca
PY - 2000
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 50
IS - 3
SP - 315
EP - 333
LA - eng
KW - oscillation; asymptotic behaviour; property (B)
UR - http://eudml.org/doc/34517
ER -

References

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  1. AHMAD S.-LAZER A. C., On the oscillatory behaviour of a class of linear third order differential equations, J. Math. Anal. Appl. 28 (1970), 681-689. (1970) MR0248394
  2. DŽURINA J., Asymptotic properties of third order delay differential equations, Czechoslovak Math. J. 45 (1995), 443-448. (1995) Zbl0842.34073MR1344509
  3. DŽURINA J., Asymptotic properties of the third order differential equations, Nonlinear Anal. 26 (1996), 33-39. (1996) MR1354789
  4. ERBE L., Existence of oscillatory solutions and asymptotic behaviour for a class of third order linear differential equations, Pacific J. Math. 64 (1976), 369-385. (1976) MR0435508
  5. GYORI I.-LADAS G., Oscillation Theory of Delay Differential Equations, Clarendon Press, Oxford, 1991. (1991) MR1168471
  6. JONES G. D., Properties of solutions of a class of third-order differential equations, J. Math. Anal. Appl. 48 (1974), 165-169. (1974) Zbl0289.34046MR0352608
  7. KIGURADZE I. T., On the oscillation of solutions of the equation d m u / d t m + a ( t ) | u | n sgn u = 0 , (Russian), Mat. Sb. 65 (1964), 172-187. (1964) Zbl0135.14302MR0173060
  8. KUSANO T.-NAITO M., Comparison theorems for functional differential equations with deviating arguments, J. Math. Soc. Japan 33 (1981), 509-532. (1981) Zbl0494.34049MR0620288
  9. LAZER A. C., The behaviour of solutions of the differential equation y ' ' ' + p ( x ) y ' + q ( x ) y = 0 , Pacific. J. Math. 17 (1966), 435-456. (1966) MR0193332
  10. PARHI N.-DAS P., On the oscillation of a ciass of linear homogeneous third order differential equations, Arch. Math. (Brno) 34 (1998), 435-443. (1998) MR1679638
  11. PARHI N.-PADHI, SESHADEV, On asymptotic behaviour of delay differential equations of third order, Nonlinear Anal. 34 (1998), 391-403. (1998) MR1635717
  12. TRENCH W. F., Canonical forms and principal systems for general disconjugate equations, Trans. Amer. Math. Soc. 189 (1974), 319-327. (1974) Zbl0289.34051MR0330632

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