Sufficient conditions for oscillation and nonoscillation of the solutions of operator-differential equations with piecewise constant argument

D. Bainov; M. Dimitrova

Applicationes Mathematicae (1996)

  • Volume: 23, Issue: 4, page 371-378
  • ISSN: 1233-7234

Abstract

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Effective sufficient conditions for oscillation and nonoscillation of solutions of some operator-differential equations with piecewise constant argument are found.

How to cite

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Bainov, D., and Dimitrova, M.. "Sufficient conditions for oscillation and nonoscillation of the solutions of operator-differential equations with piecewise constant argument." Applicationes Mathematicae 23.4 (1996): 371-378. <http://eudml.org/doc/219139>.

@article{Bainov1996,
abstract = {Effective sufficient conditions for oscillation and nonoscillation of solutions of some operator-differential equations with piecewise constant argument are found.},
author = {Bainov, D., Dimitrova, M.},
journal = {Applicationes Mathematicae},
keywords = {piecewise constant argument; operator-differential equations; oscillation and nonoscillation; oscillation; nonoscillation; operator-differential equations with piecewise constant argument},
language = {eng},
number = {4},
pages = {371-378},
title = {Sufficient conditions for oscillation and nonoscillation of the solutions of operator-differential equations with piecewise constant argument},
url = {http://eudml.org/doc/219139},
volume = {23},
year = {1996},
}

TY - JOUR
AU - Bainov, D.
AU - Dimitrova, M.
TI - Sufficient conditions for oscillation and nonoscillation of the solutions of operator-differential equations with piecewise constant argument
JO - Applicationes Mathematicae
PY - 1996
VL - 23
IS - 4
SP - 371
EP - 378
AB - Effective sufficient conditions for oscillation and nonoscillation of solutions of some operator-differential equations with piecewise constant argument are found.
LA - eng
KW - piecewise constant argument; operator-differential equations; oscillation and nonoscillation; oscillation; nonoscillation; operator-differential equations with piecewise constant argument
UR - http://eudml.org/doc/219139
ER -

References

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  1. [1] A. R. Aftabizadeh and J. Wiener, Oscillatory properties of first order linear functional differential equations, Appl. Anal. 20 (1985), 165-187. Zbl0553.34045
  2. [2] V. G. Angelov and D. D. Bainov, On the functional differential equations with 'maximums', ibid. 16 (1983), 187-194. Zbl0524.34069
  3. [3] S. Busenberg and K. L. Cooke, Models of vertically transmitted diseases with sequential continuous dynamics, in: Nonlinear Phenomena in Mathematical Science, V. Lakshmikantham (ed.), Academic Press, New York, 1982, 179-187. Zbl0512.92018
  4. [4] K. L. Cooke and J. Wiener, Retarded differential equations with piecewise constant delays, J. Math. Anal. Appl. 99 (1984), 265-297. Zbl0557.34059
  5. [5] B. G. Zhang and N. Parhi, Oscillatory and nonoscillatory properties of first order differential equations with piecewise constant deviating arguments, ibid. 139 (1989), 23-35. Zbl0719.34127

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