Oscillation in second order linear delay differential equations with nonlinear impulses

Zhi Min He; Weigao Ge

Mathematica Slovaca (2002)

  • Volume: 52, Issue: 3, page 331-341
  • ISSN: 0139-9918

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He, Zhi Min, and Ge, Weigao. "Oscillation in second order linear delay differential equations with nonlinear impulses." Mathematica Slovaca 52.3 (2002): 331-341. <http://eudml.org/doc/31686>.

@article{He2002,
author = {He, Zhi Min, Ge, Weigao},
journal = {Mathematica Slovaca},
keywords = {delay differential equation; oscillation; impulse},
language = {eng},
number = {3},
pages = {331-341},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Oscillation in second order linear delay differential equations with nonlinear impulses},
url = {http://eudml.org/doc/31686},
volume = {52},
year = {2002},
}

TY - JOUR
AU - He, Zhi Min
AU - Ge, Weigao
TI - Oscillation in second order linear delay differential equations with nonlinear impulses
JO - Mathematica Slovaca
PY - 2002
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 52
IS - 3
SP - 331
EP - 341
LA - eng
KW - delay differential equation; oscillation; impulse
UR - http://eudml.org/doc/31686
ER -

References

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  1. LAKSHMIKANTHAM V.-BAINOV D. D.-SIMEONOV P. S., Theory of Impulsive Differential Equations, World Scientific, Singapore, 1989. (1989) Zbl0719.34002MR1082551
  2. GYORI I.-LADAS G., Oscillation Theory of Delay Dгfferential Equations with Aplications, Clarendon Press, Oxford, 1991. (1991) MR1168471
  3. ERBE L. H.-KONG Q. K.-ZHANG B. G., Oscillation Theory for Functional Differential Equations, Pure Appl. Math., Marcel Dekker 190, Marcel Dekker, Inc, New York, 1994. (190,) MR1309905
  4. GOPALSAMY K.-ZHANG B. G., On delay differential equations with impulses, J. Math. Anal. Appl. 139 (1989), 110-122. (1989) Zbl0687.34065MR0991929
  5. CHEN M. P.-YU J. S.-SHEN J. H., The persistence of nonoscillatory solutions of delay differential equations under impulsive perturbations, Computers Math. Appl. 27 (1994), 1-6. (1994) Zbl0806.34060MR1270770
  6. SHEN J. H., The nonoscillatory solutions of delay differential equations wгth impulses, Appl. Math. Math. Comput. 77 (1996), 153-165. (1996) MR1392297
  7. ZHANG Y. Z.-ZHAO A. M.-YAN J. R., Oscillation criteria for impulsive differential equations, J. Math. Anal. Appl. 205 (1997), 461-470. (1997) MR1428360
  8. DOMOSHNITSKY A.-DRAKHLIN M., Nonoscillation of first order impulsive differential equations with delay, J. Math. Anal. Appl. 206 (1997), 254-269. (1997) MR1429290
  9. BAINOV D.-DIMITROVA M.-DISHLIEV A., Necessary and sufficient conditions for existence of nonoscillatory solutions of impulsive differential equations of second order with retarded argument, Appl. Anal. 63 (1996), 287-297. (1996) MR1624040
  10. BAINOV D.-DIMITROVA M., Oscillation of sub- and superlinear impulsive differential equations with constant delay, Appl. Anal. 64 (1997), 57-67. (1997) Zbl0879.34068MR1460072
  11. CHEN Y. S.-FENG W. Z., Oscillations of second order nonlinear ODE with impulses, J. Math. Anal. Appl. 210 (1997), 150-169. (1997) MR1449514
  12. HUANG C. C., Oscillation and nonoscillation for second order linear impulsive differential equations, J. Math. Anal. Appl. 214 (1997), 378-394. (1997) Zbl0895.34031MR1475576
  13. KUNG, GEORGE C. T., Oscillation and nonoscillation of differential equations with a time lag, SIAM J. Appl Math. 21 (1971), 207-213. (1971) Zbl0245.34057MR0310389

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