Necessary and sufficient conditions for oscillatory behaviour of solutions of a forced nonlinear neutral equation of first order with positive and negative coefficients

Radhanath N. Rath; Niyati Misra

Mathematica Slovaca (2004)

  • Volume: 54, Issue: 3, page 255-266
  • ISSN: 0139-9918

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Rath, Radhanath N., and Misra, Niyati. "Necessary and sufficient conditions for oscillatory behaviour of solutions of a forced nonlinear neutral equation of first order with positive and negative coefficients." Mathematica Slovaca 54.3 (2004): 255-266. <http://eudml.org/doc/34598>.

@article{Rath2004,
author = {Rath, Radhanath N., Misra, Niyati},
journal = {Mathematica Slovaca},
keywords = {oscillation; non-oscillation; neutral equation},
language = {eng},
number = {3},
pages = {255-266},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Necessary and sufficient conditions for oscillatory behaviour of solutions of a forced nonlinear neutral equation of first order with positive and negative coefficients},
url = {http://eudml.org/doc/34598},
volume = {54},
year = {2004},
}

TY - JOUR
AU - Rath, Radhanath N.
AU - Misra, Niyati
TI - Necessary and sufficient conditions for oscillatory behaviour of solutions of a forced nonlinear neutral equation of first order with positive and negative coefficients
JO - Mathematica Slovaca
PY - 2004
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 54
IS - 3
SP - 255
EP - 266
LA - eng
KW - oscillation; non-oscillation; neutral equation
UR - http://eudml.org/doc/34598
ER -

References

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  1. CHUANXI Q.-LADAS G., Oscillation in differential equations with positive and negative coefficients, Canad. Math. Bull. 33 (1990), 442-450. (1990) MR1091349
  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. GYORI I.-LADAS G., Oscillation Theory of Delay-Differential Equations with Applications, Clarendon Press, Oxford, 1991. (1991) MR1168471
  4. PARHI N.-CHAND S., On forced first order neutral differential equations with positive and negative coefficients, Math. Slovaca 50 (2000), 81-94. Zbl0959.34051MR1764347
  5. 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
  6. 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
  7. YU J. S.-WANG Z., Neutral differential equations with positive and negative coefficients, Acta. Math. Sinica 34 (1991), 517-523. (1991) MR1152147
  8. YU J. S.-WANG Z., Some further results on oscillation of neutral differential equations, Bull. Austral. Math. Soc. 46 (1992), 149-157. (1992) Zbl0729.34051MR1170449

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