Oscillation of solutions to neutral delay differential equations

Ireneusz Kubiaczyk; Samir H. Saker

Mathematica Slovaca (2002)

  • Volume: 52, Issue: 3, page 343-359
  • ISSN: 0232-0525

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Kubiaczyk, Ireneusz, and Saker, Samir H.. "Oscillation of solutions to neutral delay differential equations." Mathematica Slovaca 52.3 (2002): 343-359. <http://eudml.org/doc/31896>.

@article{Kubiaczyk2002,
author = {Kubiaczyk, Ireneusz, Saker, Samir H.},
journal = {Mathematica Slovaca},
keywords = {oscillation; neutral delay differential equation},
language = {eng},
number = {3},
pages = {343-359},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Oscillation of solutions to neutral delay differential equations},
url = {http://eudml.org/doc/31896},
volume = {52},
year = {2002},
}

TY - JOUR
AU - Kubiaczyk, Ireneusz
AU - Saker, Samir H.
TI - Oscillation of solutions to neutral delay differential equations
JO - Mathematica Slovaca
PY - 2002
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 52
IS - 3
SP - 343
EP - 359
LA - eng
KW - oscillation; neutral delay differential equation
UR - http://eudml.org/doc/31896
ER -

References

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  1. AGARWAL R. P.-GRACE S. R.-O'REGAN D., Oscillation Theory for Difference and Functional Differential Equations, Kluwer, Dordrechet, 2000. Zbl0954.34002
  2. AGARWAL R. P.-GRACE S. R- O'REGAN D., Oscillation Theory for Second Order Dynamic Equations, (To appear). 
  3. BAINOV D. D.-MISHEV D. P., Oscillation Theory for Neutral Differential Equations with Delay, Adam Hilger, New York, 1991. (1991) Zbl0747.34037MR1147908
  4. BOE E.- CHANG H. C, Dynamics of delayed systems under feedback control, Chem. Engin. Sci. 44 (1989), 1281-1294. (1989) 
  5. BRAYTON R. K.-WILLOUHBY R. A., On the numerical integration of a symmetric system of difference-differential equations of neutral type, J. Math. Anal. Appl. 18 (1976), 182-189. (1976) MR0213061
  6. CHEN M. P.- YU J. S.-HUANG L. H., Oscillations of first order neutral differential equations with variable coefficients, J. Math. Anal. Appl. 185 (1994), 288-301. (1994) Zbl0807.34081MR1283058
  7. CHUANXI Q.-LADAS G., Oscillation of first-order neutral equations with variable coefficients, Mh. Math. 109 (1990), 103-111. (1990) MR1048299
  8. DRIVER D. R., A mixed neutral systems, Nonlinear Anal. 8 (1984), 155-158. (1984) MR0734448
  9. ELBERT A.-STAVROULAKIS I. P., Oscillation and non-oscillation criteria for delay differential equations, Proc. Amer. Math. Sco. 124 (1995), 1503-1511. (1995) MR1242082
  10. ELBERT A.-STAVROULAKIS I. P., Oscillations of first order differential equations with deviating arguments, In: Recent Trends in Differential Equations. World Sci. Ser. Appl. Anal. 1, World Sci. Publishing, Singapore, 1992, pp. 163-178. (1992) Zbl0832.34064MR1180110
  11. ERBE L. H.- KONG Q.-ZHANG B. G., Oscillation Theory for Functional Differential Equations, Marcel Dekker, New York, 1995. (1995) MR1309905
  12. GRAMMATIKOPOULOS M. K.-SFICAS Y. G.-LADAS G., Oscillation and asymptotic behavior of neutral differential equations with deviating argument, Appl. Anal. 22 (1986), 1-19. (1986) MR0854537
  13. GRAMMATIKOPOULOS M. K.-SFICAS Y. G.-LADAS G., Oscillation and asymptotic behavior of neutral equations with variable coefficients, Rad. Mat. 2 (1986), 279-303. (1986) Zbl0617.34067MR0873703
  14. GRAMMATIKOPOULOS M. K.-GROVE E. A.-LADAS G., Oscillation of first-order neutral delay differential equations, J. Math. Anal. Appl. 120 (1986), 510-520. (1986) MR0864767
  15. GYORI I.-LADAS G., Oscillation Theory of Delay Differential Equations With Applications, Clarendon Press, Oxford, 1991. (1991) MR1168471
  16. HALE J. K., Theory of Functional Differential Equations, Springer-Verlag, New York, 1977. (1977) Zbl0352.34001MR0508721
  17. JAROS J.-STAVROULAKIS I. P., Oscillation tests for delay equations, Rocky Mountain J. Math. 29 (1999), 1-11. (1999) Zbl0938.34062MR1687662
  18. KWONG M. K., Oscillation of first order delay equations, J. Math. Anal. Appl. 159 (1991), 469-484. (1991) Zbl0727.34064MR1102611
  19. LADAS G.-SFICAS Y. G., Oscillation of neutral delay differential equations, Canad. Math. Bull. 29 (1986), 438-445. (1986) MR0860851
  20. LADDE G. S.-LAKSHMIKANTHAM V.-ZHANG B. Z., Oscillation Theory of Differential Equations with Deviating Arguments, Marcel Dekker, New York, 1987. (1987) Zbl0832.34071MR1017244
  21. LI B., Oscillations of delay differential equations with variable coefficients, J. Math. Anal. Appl. 192 (1995), 312-321. (192) MR1329426
  22. LI B., Oscillation of first order delay differential equations, Proc. Amer. Math. Soc. 124 (1996), 3729-3737. (1996) Zbl0865.34057MR1363175
  23. POPOV E. P., Automatic Regulation and Control, Nauka, Moscow, 1966. (Russian) (1966) 
  24. TANG X. H.-SHEN J. H., Oscillations of delay differential equations with variable coefficients, J. Math. Anal. Appl. 217 (1998), 32-42. (1998) Zbl0893.34065MR1492078
  25. YU J. S.-WANG Z. C.-CHUANXI Q., Oscillation of neutral equations, Bull. Austral. Math. Soc. 145 (1992), 195-120. (1992) MR1155477
  26. ZAHARIEV A. I.-BAINOV D. D., Oscillating properties of the solution of a class of neutral type functional differential equations, Bull. Austral. Math. Soc. 22 (1980), 365-372. (1980) MR0601643
  27. ZHANG B. G., Oscillation of first order neutral functional differential equations, J. Math. Anal. Appl. 139 (1989), 311-318. (1989) Zbl0683.34037MR0996960

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