Oscillation criteria for second order nonlinear retarded differential equations

Jozef Džurina

Mathematica Slovaca (2004)

  • Volume: 54, Issue: 3, page 245-253
  • ISSN: 0139-9918

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Džurina, Jozef. "Oscillation criteria for second order nonlinear retarded differential equations." Mathematica Slovaca 54.3 (2004): 245-253. <http://eudml.org/doc/34597>.

@article{Džurina2004,
author = {Džurina, Jozef},
journal = {Mathematica Slovaca},
keywords = {oscillatory solution; second-order delay differential equation},
language = {eng},
number = {3},
pages = {245-253},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Oscillation criteria for second order nonlinear retarded differential equations},
url = {http://eudml.org/doc/34597},
volume = {54},
year = {2004},
}

TY - JOUR
AU - Džurina, Jozef
TI - Oscillation criteria for second order nonlinear retarded differential equations
JO - Mathematica Slovaca
PY - 2004
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 54
IS - 3
SP - 245
EP - 253
LA - eng
KW - oscillatory solution; second-order delay differential equation
UR - http://eudml.org/doc/34597
ER -

References

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  1. AGARWAL R. P.-SHIEN S. L.-YEH C.-C., Oscillation criteria for second-order retarded differential equations, Math. Comput. Modelling 26 (1997), 1-11. (1997) Zbl0902.34061MR1480601
  2. CHERN J. L.-LIAN W. C.-YEH C.-C., Oscillation criteria for second order half-linear differential equations with functional arguments, Publ. Math. Debrecen 48 (1996), 209-216. (1996) MR1394842
  3. CHANTURIJA T. A.-KIGURADZE I. T., Asymptotic Properties of Nonautonomous Ordinary Differential Equations, Nauka, Moscow, 1990. (Russian) (1990) 
  4. ELBERT A., A half-linear second order differential equation, In: Colloq. Math. Soc. János Bolyai 30, North-Holland, Amsterdam, 1979, pp. 153-180. (1979) MR0680591
  5. ELBERT A., Oscilllation and nonoscillation theorems for some nonlinear ordinary differentiał equation, In: Lecture Notes in Math. 964, Springer-Verlag, New York, 1982, pp. 187-212. (1982) MR0693113
  6. HONG H.-L.-LIAN W.-C.-YEH C.-C., Oscillation criteria for half-linear differential equations with functional argument, Nonlinear World 3 (1996), 849-855. (1996) MR1434681
  7. LADDE G. S.-LAKSHMIKANTHAM V.-ZHANG B. G., Oscillation Theory of Differential Equations with Deviating Arguments, Marcel Dekker Inc, New York-Basel, 1987. (1987) Zbl0832.34071MR1017244
  8. LI H. A.-YEH C.-C., Oscillation of nonlinear functional-differential equations of second order, Appl. Math. Lett. 11 (1998), 71-77. (1998) MR1490383
  9. LI H. J.-YEH C.-C., Sturmian comparison theorem for half-linear second order differential equation, Proc Roy. Soc Edinburgh Sect. A 125 (1995), 1193-1204. (1995) MR1362999
  10. LI H. J.-YEH C.-C., An integral criterion for oscillation of nonlinear differential equations, Math. Japon. 41 (1995), 185-188. (1995) Zbl0816.34024MR1317762
  11. MIRZOV D. D., On the oscillation of a system of nonlinear differential equations, Differ. Uravn. 9 (1973), 581-583. (1973) 
  12. PENG M.-GE W.-HUANG L.-XU Q., A correction on the oscillatory behavior of solutions of certain second order nonlinear differential equations, Appl. Math. Comput. 104 (1999), 207-215. (1999) Zbl0937.34027MR1704141
  13. WONG P. J. Y.-AGARWAL R. P., Oscillation theorems and existence criteria of asymptotically monotone solutions for second order differential equations, Dynam. Systems Appl. 4 (1995), 477-496. (1995) Zbl0840.34021MR1365834
  14. WONG P. J. Y.-AGARWAL R. P., Oscillatory behavior of solutions of certain second order nonlinear differential equations, J. Math. Anal. Appl. 198 (1996), 337-354. (198) MR1376268

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