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: 0139-9918

How to cite

top

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

top
  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

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.