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ArticleOriginal scientific text

Title

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

Authors 1, 2

Affiliations

  1. Medical University of Sofia, P.O. Box 45, Sofia 1504, Bulgaria
  2. Technical University, Sliven, Bulgaria

Abstract

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

Keywords

ENG
piecewise constant argument, operator-differential equations, oscillation and nonoscillation

Bibliography

  1. A. R. Aftabizadeh and J. Wiener, Oscillatory properties of first order linear functional differential equations, Appl. Anal. 20 (1985), 165-187.
  2. V. G. Angelov and D. D. Bainov, On the functional differential equations with 'maximums', ibid. 16 (1983), 187-194.
  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.
  4. K. L. Cooke and J. Wiener, Retarded differential equations with piecewise constant delays, J. Math. Anal. Appl. 99 (1984), 265-297.
  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.
Applicationes Mathematicae
1995-1996/23/4
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Pages:
371-378
Main language of publication
English
Received
1994-11-08
Published
1996
Exact and natural sciences