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Necessary and sufficient conditions for the nonoscillation of a first order neutral equation with several delays

Radhanath N. Rath

Mathematica Slovaca (2003)

  • Volume: 53, Issue: 1, page 75-89
  • ISSN: 0232-0525

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Rath, Radhanath N.. "Necessary and sufficient conditions for the nonoscillation of a first order neutral equation with several delays." Mathematica Slovaca 53.1 (2003): 75-89. <http://eudml.org/doc/32428>.

@article{Rath2003,
author = {Rath, Radhanath N.},
journal = {Mathematica Slovaca},
keywords = {oscillation; nonoscillation; neutral equation; asymptotic behaviour},
language = {eng},
number = {1},
pages = {75-89},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Necessary and sufficient conditions for the nonoscillation of a first order neutral equation with several delays},
url = {http://eudml.org/doc/32428},
volume = {53},
year = {2003},
}

TY - JOUR
AU - Rath, Radhanath N.
TI - Necessary and sufficient conditions for the nonoscillation of a first order neutral equation with several delays
JO - Mathematica Slovaca
PY - 2003
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 53
IS - 1
SP - 75
EP - 89
LA - eng
KW - oscillation; nonoscillation; neutral equation; asymptotic behaviour
UR - http://eudml.org/doc/32428
ER -

References

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  1. DAS P., Oscillation and asymptotic behaviour of solutions for second order neutral delay differential equation, J. Indian Math. Soc. (N.S.) 60 (1994), 159-170. (1994) MR1292134
  2. DAS P.-MISRA N., A necessary and sufficient condition for the solution of a functional differential equation to be oscillatory or tend to zero, J. Math. Anal. Appl. 204 (1997), 78-87. (1997) MR1426981
  3. DETANG, ZHOU, Oscillation of neutral functional differential equations, Acta Math. Scientia 12 (1992), 42-50. (1992) 
  4. ERBE L. H.-KAIKONG, QING, Oscillation and nonoscillation properties of neutral differential equations, Canad. J. Math. 46 (1994), 284-297. (1994) MR1271215
  5. GYORI I.-LADAS G., Oscillation Theory of Delay-Differential Equations with Applications, Clarendon, Oxford, 1991. (1991) MR1168471
  6. KULENOVIC M. R. S.-LADAS G.-MEIMARIDOU A., Necessary and sujficient condition for oscillation of neutral differential equations, J. Austral. Math. Soc. Ser. B 28 (1987), 362-375. (1987) MR0868764
  7. LADAS G.-SFICAS Y. G.-STAVROULAKIS I. P., Necessary and sufficient condition for oscillation of higher order delay differential equations, Trans. Amer. Math. Soc. 285 (1984), 81-90. (1984) MR0748831
  8. LIU X. Z.-YU J. S.-ZHANG B. G., Oscillation and nonoscillation for a class of neutral differential equations, Differential Equations Dynam. Systems 1 (1993), 197-204. (1993) Zbl0873.34056MR1258897
  9. LU, WUDU, Nonoscillation and oscillation of first order neutral equations with variable coefficients, J. Math. Anal. Appl. 181 (1994), 803-815. (1994) Zbl0809.34083MR1264547
  10. OLAH R., Oscillation of differential equation of neutral type, Hiroshima Math. J. 25 (1995), 1-10. (1995) Zbl0831.34076MR1322598
  11. PARHI N.-MOHANTY P. K., Maintenance of oscillation of neutral differential equations under the effect of a forcing term, Indian J. Pure Appl. Math. 26 (1995), 909-919. (1995) Zbl0838.34082MR1347539
  12. PARHI N.-MOHANTY P. K., Oscillatory behaviour of solutions of forced neutral differential equations, Ann. Polon. Math. 65 (1996), 1-10. (1996) Zbl0874.34063MR1414747
  13. PARHI N.-RATH R. N., On oscillation criteria for a forced neutral differential equation, , Bull. Inst. Math. Acad. Sinica 28 (2000), 59-70. Zbl0961.34059MR1750329
  14. PARHI N.-RATH R. N., Oscillation criteria for forced first order neutral differential equations with variable coefficients, J. Math. Anal. Appl. 256 (2001), 525-541. Zbl0982.34057MR1821755
  15. PARHI N.-RATH R. N., On oscillation and asymptotic behaviour of solutions of forced first order neutral differential equations, Proc. Indian Acad. Sci. Math. Sci. Ill (2001), 337-350. Zbl0995.34058MR1851095
  16. PARHI N.-RATH R. N., On oscillation of forced non-linear neutral differential equations of higher order, Czechoslovak Math. J. (To appear). MR2018832

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