Liapunov-type inequality for delay-differential equations of third order

N. Parhi; S. Panigrahi

Czechoslovak Mathematical Journal (2002)

  • Volume: 52, Issue: 2, page 385-399
  • ISSN: 0011-4642

Abstract

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A Liapunov-type inequality for a class of third order delay-differential equations is derived.

How to cite

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Parhi, N., and Panigrahi, S.. "Liapunov-type inequality for delay-differential equations of third order." Czechoslovak Mathematical Journal 52.2 (2002): 385-399. <http://eudml.org/doc/30709>.

@article{Parhi2002,
abstract = {A Liapunov-type inequality for a class of third order delay-differential equations is derived.},
author = {Parhi, N., Panigrahi, S.},
journal = {Czechoslovak Mathematical Journal},
keywords = {Liapunov-type inequality; oscillatory solution; third order delay-differential equation; Lyapunov-type inequality; oscillatory solution; third-order delay-differential equation},
language = {eng},
number = {2},
pages = {385-399},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Liapunov-type inequality for delay-differential equations of third order},
url = {http://eudml.org/doc/30709},
volume = {52},
year = {2002},
}

TY - JOUR
AU - Parhi, N.
AU - Panigrahi, S.
TI - Liapunov-type inequality for delay-differential equations of third order
JO - Czechoslovak Mathematical Journal
PY - 2002
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 52
IS - 2
SP - 385
EP - 399
AB - A Liapunov-type inequality for a class of third order delay-differential equations is derived.
LA - eng
KW - Liapunov-type inequality; oscillatory solution; third order delay-differential equation; Lyapunov-type inequality; oscillatory solution; third-order delay-differential equation
UR - http://eudml.org/doc/30709
ER -

References

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  1. A Liapunov inequality and nonoscillation theorem for a second order nonlinear differential-difference equation, J. Math. Phys. Sci. 7 (1973), 163–170. (1973) MR0350151
  2. 10.1112/jlms/2.Part_3.461, J. London Math. Soc. 2 (1970), 461–466. (1970) MR0267191DOI10.1112/jlms/2.Part_3.461
  3. 10.1137/0127015, SIAM J. Appl. Math. 27 (1974), 180–199. (1974) MR0350152DOI10.1137/0127015
  4. 10.1007/BF02415034, Ann. Mat. Pura Appl. 106 (1975), 273–291. (1975) Zbl0316.34081MR0412558DOI10.1007/BF02415034
  5. Ordinary Differential Equations, Wiley, New York, 1964. (1964) Zbl0125.32102MR0171038
  6. 10.1006/jmaa.1995.1372, J. Math. Anal. Appl. 195 (1995), 527–536. (1995) MR1354560DOI10.1006/jmaa.1995.1372
  7. 10.1006/jmaa.1999.6265, J. Math. Anal. Appl. 233 (1999), 445–460. (1999) MR1689641DOI10.1006/jmaa.1999.6265
  8. 10.1090/S0002-9939-1975-0379986-5, Proc. Amer. Math. Soc. 52 (1975), 247–251. (1975) MR0379986DOI10.1090/S0002-9939-1975-0379986-5

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